Did you know that our 13 telephone banking service is available 24 hours a day, 7 days a week? It's great for those occasions when you can't get to. Commonwealth Bank FAQs, phone and email contact information and information What are the opening hours of CommBank branches? Everyday Banking. Banking by phone is as easy as ! Just call our toll-free number and follow the pre-recorded instructions. Your banking business will be completed using the.