8695005968 has 120 divisors (see below), whose sum is σ = 19316888640. Its totient is φ = 3755584000.

The previous prime is 8695005959. The next prime is 8695006007.

8695005968 is nontrivially palindromic in base 10.

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, 52065821 + ... + 52065987.

It is an arithmetic number, because the mean of its divisors is an integer number (160974072).

Almost surely, 2^8695005968 is an apocalyptic number.

8695005968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8695005968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9658444320).

8695005968 is an abundant number, since it is smaller than the sum of its proper divisors (10621882672).

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

8695005968 is a wasteful number, since it uses less digits than its factorization.

8695005968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 56.

The square root of 8695005968 is about 93247.0158664608. The cubic root of 8695005968 is about 2056.3165053979.

The spelling of 8695005968 in words is "eight billion, six hundred ninety-five million, five thousand, nine hundred sixty-eight".