Hi there,
6673 is a very good rank in SRMJEE and you have a lot of options available to you.
Considering your question, I would like to tell you CSE cutoff for different campuses for the year 2018 are as follows:-
1) SRM Chennai:- 10,000
2) SRM Ramapuram:- 65,000
3) SRM Vadapalani:-68,000
4) SRM Ghaziabad:- 54,000
5) SRM Sonipat:-68,000
So, as you can see with such good rank, you have CSE available to you in all the campuses. You definitely have your shot here.
All the best.
Thank you