56107745664 has 64 divisors (see below), whose sum is σ = 149064840000. Its totient is φ = 18698988032.

The previous prime is 56107745657. The next prime is 56107745677. The reversal of 56107745664 is 46654770165.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×56107745664³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2638627 + ... + 2659805.

It is an arithmetic number, because the mean of its divisors is an integer number (2329138125).

Almost surely, 2^56107745664 is an apocalyptic number.

It is an amenable number.

56107745664 is an abundant number, since it is smaller than the sum of its proper divisors (92957094336).

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

56107745664 is a wasteful number, since it uses less digits than its factorization.

56107745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28095 (or 28083 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 56107745664 in words is "fifty-six billion, one hundred seven million, seven hundred forty-five thousand, six hundred sixty-four".