I use a Script Task to format the date for creating an archive subdirectory using a datestamp. You can use the same mechanism to format the datetime stamp for renaming a file. I have modified this snippit from the process I use, take it and change it as you see fit:
Dim FileDate As String
FileDate = Format(Dts.Variables("StartTime").Value, "yyyyMMddhhmmss")
Dts.Variables("DestinationFileLocation").Value = CStr(Dts.Variables("DestinationFileLocation").Value) & "\" & FileDate
Dts.TaskResult = Dts.Results.Success
hth
😎