How did rome prosper after the western empire fell?

After the fall of the Western Roman Empire in 476 AD, Rome prospered in several ways through the establishment of the Byzantine Empire, which preserved and continued Roman traditions, laws, and culture. The city of Rome itself became a center of Christianity, attracting pilgrims and fostering religious influence. Additionally, the remnants of Roman infrastructure, such as roads and aqueducts, facilitated trade and commerce, contributing to economic stability. This fusion of cultural and economic elements helped Rome thrive even amid the changes of the medieval period.