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        <issuerTradingSymbol>DDOG</issuerTradingSymbol>
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            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10018</rptOwnerZipCode>
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                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each share of Class B Common Stock is convertible at any time at the option of the Reporting Person into one share of Class A Common Stock and has no expiration date. Each share of Class B Common Stock will convert automatically into one share of Class A Common Stock upon the earliest of: (i) any transfer, whether or not for value, except for certain &quot;Permitted Transfers&quot; as defined in the Issuer's amended and restated certificate of incorporation, (ii) the death of the Reporting Person in the case of shares held directly or in a trustee capacity, and (iii) the tenth anniversary of the Issuer's initial public offering of its Class A Common Stock.</footnote>
        <footnote id="F2">Shares sold pursuant to a 10b5-1 plan dated December 15, 2025.</footnote>
        <footnote id="F3">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $250.29 to $251.14. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F4">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $252.16 to $253.15. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F5">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $253.17 to $254.16. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F6">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $254.18 to $255.17. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F7">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $255.18 to $256.15. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F8">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $256.18 to $257.1750. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F9">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $257.18 to $258.17. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F10">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $258.18 to $259.17. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F11">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $259.18 to $260.17. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F12">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $260.20 to $261.19. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F13">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $261.20 to $262.19. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F14">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $262.20 to $263.19. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F15">Price reported is a weighted-average sales price. The shares were sold at prices ranging from $263.20 to $264.09. The Reporting Person will provide upon request to the SEC, the Issuer or security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F16">Option is fully vested and exercisable.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Kerry Acocella, Attorney-in-Fact</signatureName>
        <signatureDate>2026-07-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
