EXHIBIT 32.4
Certification of Periodic Financial Report
Pursuant to 18 U.S.C. Section 1350
For purposes of 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, the undersigned,
James R. Chapman, the principal executive officer of Exxon Mobil Corporation (the “Company”), hereby certifies that, to his
knowledge:
(i)the Quarterly Report on Form 10-Q of the Company for the quarter ended June 30, 2026, as filed with the Securities and
Exchange Commission on the date hereof (the “Report”) fully complies with the requirements of section 13(a) or 15(d) of
the Securities Exchange Act of 1934; and
(ii)the information contained in the Report fairly presents, in all material respects, the financial condition and results of
operations of the Company.
Date: August 3, 2026

| /s/ JAMES R. CHAPMAN
| James R. Chapman
| President (Principal Executive Officer)
| Exxon Mobil Corporation

A signed original of this written statement required by Section 906 has been provided to Exxon Mobil Corporation and will be
retained by Exxon Mobil Corporation and furnished to the Securities and Exchange Commission or its staff upon request.