9708056064 has 480 divisors, whose sum is σ = 33888830976. Its totient is φ = 2717245440.

The previous prime is 9708056047. The next prime is 9708056077. The reversal of 9708056064 is 4606508079.

9708056064 is a `hidden beast` number, since 9 + 7 + 0 + 80 + 560 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61834674 + ... + 61834830.

Almost surely, 2^9708056064 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 9708056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16944415488).

9708056064 is an abundant number, since it is smaller than the sum of its proper divisors (24180774912).

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

9708056064 is an equidigital number, since it uses as much as digits as its factorization.

9708056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9708056064 is about 98529.4679981578. The cubic root of 9708056064 is about 2133.2614823023.

The spelling of 9708056064 in words is "nine billion, seven hundred eight million, fifty-six thousand, sixty-four".