9640759968 has 120 divisors (see below), whose sum is σ = 32403726432. Its totient is φ = 2754497664.

The previous prime is 9640759939. The next prime is 9640760009. The reversal of 9640759968 is 8699570469.

It is a happy number.

9640759968 is a `hidden beast` number, since 96 + 407 + 59 + 96 + 8 = 666.

It is a super-2 number, since 2×9640759968² (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 19 ways as a sum of consecutive naturals, for example, 247530 + ... + 283817.

Almost surely, 2^9640759968 is an apocalyptic number.

It is an amenable number.

9640759968 is an abundant number, since it is smaller than the sum of its proper divisors (22762966464).

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

9640759968 is a wasteful number, since it uses less digits than its factorization.

9640759968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531376 (or 531359 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The square root of 9640759968 is about 98187.3717338437. The cubic root of 9640759968 is about 2128.3208031062.

The spelling of 9640759968 in words is "nine billion, six hundred forty million, seven hundred fifty-nine thousand, nine hundred sixty-eight".