You should wait for at least 6 weeks for your SSN card to arrive. If the SSN card is taking more time than 6 weeks, you can visit your local SSN office and apply for a new SSD card yourself. SSN office will be able to see if there is any existing pending application for you before applying for a new one. If not applied with EAD, you have to apply SSN separately after you receive your EAD card.