Can we work for a US company remotely (from India) without an SSN number?

Persons working outside the US for a US company are generally not required to have Social Security numbers. Those numbers are given to people in the US. In applying for an F-1 visa, I do not see why your non-possession of a Social Security number would be negative to your interview. Due to the limitations of the Lawyers.com Forums, Alan Lee & Arthur Lee, Esqs.’ (the "Firm") participation in responding to questions posted herein does not constitute legal advice, nor legal representation of the person or entity posting a question. No Attorney/Client relationship is or shall be construed to be created hereby. The information provided herein by the Firm is general, and requires that the poster obtain specific legal advice from an attorney. The poster shall not rely upon the information provided herein as legal advice nor as the basis for making any decisions of legal consequence.