6270A password to change date / time is 0 (zero), not 6270 with firmware versions 0.39 and lower
The 6270A manual shows that the password is 6270. However this does not work in firmware versions 0.39 and lower. For those versions use password 0 (zero) when prompted.
Path to change the date/time is [Setup], <Instrument Setup>, <Instrument Settings>, <Date/Time>, [password prompt].
The password 6270 is implemented in firmware version 0.40 and above.
If that doesn't work, the override password is 9750547