7668100656 has 160 divisors (see below), whose sum is σ = 22857912000. Its totient is φ = 2458294272.

The previous prime is 7668100567. The next prime is 7668100667. The reversal of 7668100656 is 6560018667.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3669660 + ... + 3671748.

It is an arithmetic number, because the mean of its divisors is an integer number (142861950).

Almost surely, 2^7668100656 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 7668100656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11428956000).

7668100656 is an abundant number, since it is smaller than the sum of its proper divisors (15189811344).

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

7668100656 is a wasteful number, since it uses less digits than its factorization.

7668100656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7668100656 is about 87567.6918503623. The cubic root of 7668100656 is about 1971.9501637964.

The spelling of 7668100656 in words is "seven billion, six hundred sixty-eight million, one hundred thousand, six hundred fifty-six".