8632525968 has 320 divisors, whose sum is σ = 29698099200. Its totient is φ = 2369917440.

The previous prime is 8632525943. The next prime is 8632526003. The reversal of 8632525968 is 8695252368.

8632525968 is a `hidden beast` number, since 8 + 6 + 325 + 259 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2074546 + ... + 2078702.

It is an arithmetic number, because the mean of its divisors is an integer number (92806560).

Almost surely, 2^8632525968 is an apocalyptic number.

8632525968 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 8632525968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849049600).

8632525968 is an abundant number, since it is smaller than the sum of its proper divisors (21065573232).

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

8632525968 is a wasteful number, since it uses less digits than its factorization.

8632525968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4215 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 8632525968 is about 92911.3877196977. The cubic root of 8632525968 is about 2051.3792794403.

Subtracting 8632525968 from its reverse (8695252368), we obtain a square (62726400 = 7920²).

The spelling of 8632525968 in words is "eight billion, six hundred thirty-two million, five hundred twenty-five thousand, nine hundred sixty-eight".