9632695968 has 432 divisors, whose sum is σ = 33378718464. Its totient is φ = 2624348160.

The previous prime is 9632695951. The next prime is 9632695979. The reversal of 9632695968 is 8695962369.

9632695968 is a `hidden beast` number, since 9 + 6 + 32 + 6 + 9 + 596 + 8 = 666.

It is a super-2 number, since 2×9632695968² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42434671 + ... + 42434897.

It is an arithmetic number, because the mean of its divisors is an integer number (77265552).

Almost surely, 2^9632695968 is an apocalyptic number.

9632695968 is a gapful number since it is divisible by the number (98) 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 9632695968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16689359232).

9632695968 is an abundant number, since it is smaller than the sum of its proper divisors (23746022496).

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

9632695968 is a wasteful number, since it uses less digits than its factorization.

9632695968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The square root of 9632695968 is about 98146.2987992925. The cubic root of 9632695968 is about 2127.7272272713.

It can be divided in two parts, 9632 and 695968, that added together give a square (705600 = 840²).

The spelling of 9632695968 in words is "nine billion, six hundred thirty-two million, six hundred ninety-five thousand, nine hundred sixty-eight".