PARI/GP confirms
Code:
x=2^7* 5 * 23 * 127 * 659 * 53323 * 1876187 * 97544836889 * 665320793909
%111 = 7998766649128898059663516612687535453720960
(21:22) gp > eulerphi(x)
%112 = 3031634148236289733373855928919180891127808
(21:22) gp > sigma(x)-x
%113 = 12142697391577851168337274092012830083559040
@Dieter: The solution doesn't have prime factors > 2^64.