9671755968 has 224 divisors, whose sum is σ = 33544581120. Its totient is φ = 2674114560.

The previous prime is 9671755931. The next prime is 9671755979. The reversal of 9671755968 is 8695571769.

9671755968 is a `hidden beast` number, since 9 + 6 + 7 + 17 + 559 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 362080 + ... + 387872.

Almost surely, 2^9671755968 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 9671755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16772290560).

9671755968 is an abundant number, since it is smaller than the sum of its proper divisors (23872825152).

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

9671755968 is a wasteful number, since it uses less digits than its factorization.

9671755968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25852 (or 25836 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 63.

The square root of 9671755968 is about 98345.0861405897. The cubic root of 9671755968 is about 2130.5992838629.

The spelling of 9671755968 in words is "nine billion, six hundred seventy-one million, seven hundred fifty-five thousand, nine hundred sixty-eight".