What Ecuador needs more than anything else are donations. Not supplies (though some places Stateside are taking collections and shuttling them to Ecuador with the help of some airlines) but money. There are a host of options, from large international relief organizations to smaller, often community-specific, kickstarter-like funds. Below is an incomplete list of the organization that have come across my news feeds in the past few days. I can't speak specifically to the efficacy of the various organizations (though many of the crowdsourced funding projects are organized by colleagues of mine, who I do trust), but hope there will be at least one in here that you will feel comfortable donating to.
Account name: Bank of America NY, Swift Code: BOFAUS3N, Under the name: CCU SECRETARIA GESTIÓN RIESOGS/PLANTA CENTRAL, checking account number: 01121807
Bank of America--USA, Account number: 3751560139, Name: UNDP REPRESENTATIVE IN ECUADOR, Swift code: BOFAUS3N, ACH, Routing number: 111000012
Fundación Camino a Casa, Savings account/cuenta de ahorros Banco Del Pichincha: 6085452300, RUC: 1792329930001, PayPal: firstname.lastname@example.org
Universidad San Francisco de Quito, Banco Bolivariano, Account/cuenta de ahorros: 1645003014, Swift Code: BBOLECEG500