Verizon Wireless requires you to tweet (DM) your password for support (twitter.com)

Customer service should never ask you to give up your password, especially over social media, even if it is via a DM. It's okay to verify other pieces of info (for example via the phone you verify a pin), but asking for a password is just unacceptable. I did verify that this indeed was a real twitter account of Verizon's too as they link it from their support page https://www.verizonwireless.com/support/