International students do not need an SSN to buy a car in full.

SSN generally refers to Social Security Number. In the United States, the Social Security number (SSN) is a nine-digit number issued to citizens, permanent residents, and temporary (working) residents. It is a social security number in accordance with Section 205 C2 of the Social Security Act. Security card records.

An SSN is required because to apply for a loan, you don’t need an SSN to buy a car in full.