768630856785024 has 128 divisors (see below), whose sum is σ = 2065344991416000. Its totient is φ = 253246735908864.

The previous prime is 768630856784929. The next prime is 768630856785049. The reversal of 768630856785024 is 420587658036867.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16203952 + ... + 42424400.

Almost surely, 2^{768630856785024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768630856785024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032672495708000).

768630856785024 is an abundant number, since it is smaller than the sum of its proper divisors (1296714134630976).

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

768630856785024 is a wasteful number, since it uses less digits than its factorization.

768630856785024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26221350 (or 26221338 counting only the distinct ones).

The product of its (nonzero) digits is 3251404800, while the sum is 75.

The spelling of 768630856785024 in words is "seven hundred sixty-eight trillion, six hundred thirty billion, eight hundred fifty-six million, seven hundred eighty-five thousand, twenty-four".