57645760720 has 20 divisors (see below), whose sum is σ = 134026393860. Its totient is φ = 23058304256.

The previous prime is 57645760691. The next prime is 57645760793. The reversal of 57645760720 is 2706754675.

It can be written as a sum of positive squares in 2 ways, for example, as 24349729936 + 33296030784 = 156044^2 + 182472^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360285925 + ... + 360286084.

It is an arithmetic number, because the mean of its divisors is an integer number (6701319693).

Almost surely, 2^57645760720 is an apocalyptic number.

It is an amenable number.

57645760720 is an abundant number, since it is smaller than the sum of its proper divisors (76380633140).

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

57645760720 is a wasteful number, since it uses less digits than its factorization.

57645760720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720572022 (or 720572016 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 49.

The spelling of 57645760720 in words is "fifty-seven billion, six hundred forty-five million, seven hundred sixty thousand, seven hundred twenty".