The U.S. Embassy in Quito and the U.S. Consulate in Guayaquil can only provide this service if you never had a Social Security number and are:

• U.S. Citizen
• Over 12 years old

To begin the process please send an e-mail to the location where you would like to apply:

U.S. Embassy in Quito: acsquito@state.gov
U.S. Consulate in Guayaquil: acsguayaquil@state.gov

If you are trying to request a SSN for someone that is 12 years old or younger, as well as all other inquiries and requests, you need to contact Regional Federal Benefits Office at Santo Domingo: https://do.usembassy.gov/social-security/

General information on SSA services for people living outside the United States can be found at https://www.ssa.gov/foreign/index.html