Hello and thanks for your post.
I first want to congratulate you on a high GMAT score! And while a 750 alone will not get you into a top school, it certainly illustrates that you have the quantitative ability to succeed in an MBA program. Scoring a 47 in Quant is sufficient (especially because you have a 4.0 in Business Analytics) and since schools only factor in the overall score into their averages, you are fine with a 47. It’s the 750 that matters most to them. So since you are looking at reach schools like CBS and HBS, you should focus on other parts of your application, since it is these other aspects of your application that will make the difference between admission and rejection. The application process is truly holistic, and in addition to your stats, committees will look at your work experience and extracurriculars.
It is hard to gauge your work experience without knowing your accomplishments and impact you have made there. It is nice to see that you have a lot of leadership experience though. It will also be important to explain why you want your MBA, and to also illustrate the skills you already have which are transferable. Be sure your story makes sense, and is realistic and specific. You will need to say much more than your goal is simply “MBB”.
Regarding extracurriculars, make sure to really emphasize your leadership roles you have taken on too.
If you continue to strengthen your profile, you do have a chance at some of the schools you mentioned, but they are extremely competitive, and each school simply does not have the room to admit all the world's qualified applicants. But hopefully in your application you can illustrate that you have a compelling story and are someone who will add value to the classroom and community.
If you would like to discuss your story or anything else in greater detail, please sign up for a free consultation. It is never too early to get started.
Good luck!