Hi,
Thanks for your post. Your academic and professional achievements are quite solid and will certainly help differentiate you from the others in the applicant pool. However, I do have concerns about your GMAT score. While you do have excellent undergraduate and graduate degree performance, your GMAT score is below average for Stern as well as other US top 15 programs.
From your post it appears you've only taken the GMAT once. If this is the case, I strongly encourage you to consider retaking it with a goal of 680. A higher score will help strengthen your overall candidacy and thus make your profile more competitive. If you're not open to retaking the GMAT, I suggest you consider looking at programs ranked between 15-25.
Best,
Stacey