A nonvolatile memory module includes a plurality of volatile memory devices sharing a data bus through which data is transmitted and a control bus through which a command and an address are transmitted; at least one nonvolatile memory device; and a controller including a backup logic which backs up data stored in the plurality of volatile memory devices when a fail in power of the host is detected or a backup operation is instructed from the memory controller of the host, wherein the backup logic sets a command address latency (CAL) of one among the plurality of volatile memory devices to a first value, and sets a command address latency of remaining volatile memory devices to a second value different from the first value.