9706564804608 has 672 divisors, whose sum is σ = 32460044198400. Its totient is φ = 2737663377408.

The previous prime is 9706564804591. The next prime is 9706564804619. The reversal of 9706564804608 is 8064084656079.

9706564804608 is a `hidden beast` number, since 9 + 7 + 0 + 6 + 564 + 8 + 0 + 4 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19297345285 + ... + 19297345787.

It is an arithmetic number, because the mean of its divisors is an integer number (48303637200).

Almost surely, 2^{9706564804608} 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 9706564804608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16230022099200).

9706564804608 is an abundant number, since it is smaller than the sum of its proper divisors (22753479393792).

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

9706564804608 is a wasteful number, since it uses less digits than its factorization.

9706564804608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 9706564804608 in words is "nine trillion, seven hundred six billion, five hundred sixty-four million, eight hundred four thousand, six hundred eight".