9645560064 has 216 divisors, whose sum is σ = 33457336640. Its totient is φ = 2610745344.

The previous prime is 9645560059. The next prime is 9645560077. The reversal of 9645560064 is 4600655469.

9645560064 is a `hidden beast` number, since 96 + 4 + 556 + 0 + 0 + 6 + 4 = 666.

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, 290694 + ... + 322170.

Almost surely, 2^9645560064 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 9645560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16728668320).

9645560064 is an abundant number, since it is smaller than the sum of its proper divisors (23811776576).

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

9645560064 is a wasteful number, since it uses less digits than its factorization.

9645560064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31525 (or 31508 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 9645560064 is about 98211.8122427236. The cubic root of 9645560064 is about 2128.6739719833.

The spelling of 9645560064 in words is "nine billion, six hundred forty-five million, five hundred sixty thousand, sixty-four".