Same problem here.
The /proc/<pid>/stat is
24958 (my_prog) R 2715 24958 2715 34821 24958 4202496 9880 0 12 0 85865547142 
4611685932561840760 0 0 20 0 1 0 260208895 82169856 7534 18446744073709551615 
4194304 7543765 140733910046816 140733910039880 5147444 0 0 0 0 0 0 0 17 2 0 0 
0 0 0
ps aux gives
my_login   24958 305466865  0.7 80244 30136 pts/5 R+  May27 17179869:11 my_prog
uname -a
Linux frpar1lx052 2.6.32-31-generic #61-Ubuntu SMP Fri Apr 8 18:25:51 UTC 2011 
x86_64 GNU/Linux

I'm not an expert in kernel but looking at numbers given by Jochen :
2146756990+429740+60000 < 2**31   (why overflow now)
4611685932568856662 + 85858531240 ~ 2**62 
I would say that the overflow is rather in the total time (current_time - 
stating_time)

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https://bugs.launchpad.net/bugs/747083

Title:
  stime and utime overflow in /proc/stat

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