9696564864 has 256 divisors, whose sum is σ = 32920704000. Its totient is φ = 2752330752.

The previous prime is 9696564853. The next prime is 9696564931. The reversal of 9696564864 is 4684656969.

9696564864 is a `hidden beast` number, since 9 + 6 + 9 + 6 + 564 + 8 + 64 = 666.

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, 3942067 + ... + 3944525.

It is an arithmetic number, because the mean of its divisors is an integer number (128596500).

Almost surely, 2^9696564864 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 9696564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16460352000).

9696564864 is an abundant number, since it is smaller than the sum of its proper divisors (23224139136).

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

9696564864 is a wasteful number, since it uses less digits than its factorization.

9696564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2634 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The square root of 9696564864 is about 98471.1372128910. The cubic root of 9696564864 is about 2132.4194526635.

The spelling of 9696564864 in words is "nine billion, six hundred ninety-six million, five hundred sixty-four thousand, eight hundred sixty-four".