Vivek, you haven't mentioned your Category. This is important because every Category has different cut offs. With a score of 627, your rank might be approximately between 2788-3956 . This is an expected rank range: https://medicine.careers360.com/articles/neet-result-marks-vs-rank . Now regarding the Colleges that you may have a shot at, you have a chance in:

• VMMC
• NMDC
• BabaSaheb Ambedkar Medical College

And the admissions to these colleges are conducted through IPU Counselling. UCSM, MAMC are a tad tough with this score if you belong to General Category but if you belong to Reserved Categories, you might have a chance in these Colleges too. Now this is based on 2019 data and cut offs change every year. Cut offs change every year depending on various factors such as no.of Candidates appearing for the exam, no.of Candidates qualified, top NEET score and difficulty of the exam. For complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer