57720944736 has 864 divisors, whose sum is σ = 219011240448. Its totient is φ = 14814213120.

The previous prime is 57720944711. The next prime is 57720944753. The reversal of 57720944736 is 63744902775.

57720944736 is a `hidden beast` number, since 577 + 20 + 9 + 4 + 47 + 3 + 6 = 666.

57720944736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×57720944736² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212992281 + ... + 212992551.

It is an arithmetic number, because the mean of its divisors is an integer number (253485232).

Almost surely, 2^57720944736 is an apocalyptic number.

57720944736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57720944736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109505620224).

57720944736 is an abundant number, since it is smaller than the sum of its proper divisors (161290295712).

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

57720944736 is a wasteful number, since it uses less digits than its factorization.

57720944736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 57720944736 in words is "fifty-seven billion, seven hundred twenty million, nine hundred forty-four thousand, seven hundred thirty-six".