1008768906756 has 72 divisors (see below), whose sum is σ = 2834676825344. Its totient is φ = 300377833920.

The previous prime is 1008768906679. The next prime is 1008768906781. The reversal of 1008768906756 is 6576098678001.

It is a super-2 number, since 2×1008768906756² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1008768906693 and 1008768906702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34751446 + ... + 34780461.

Almost surely, 2^{1008768906756} is an apocalyptic number.

It is an amenable number.

1008768906756 is an abundant number, since it is smaller than the sum of its proper divisors (1825907918588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1008768906756 is a wasteful number, since it uses less digits than its factorization.

1008768906756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69531961 (or 69531956 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1008768906756 in words is "one trillion, eight billion, seven hundred sixty-eight million, nine hundred six thousand, seven hundred fifty-six".