57644642720 has 288 divisors, whose sum is σ = 164083304448. Its totient is φ = 19069489152.

The previous prime is 57644642719. The next prime is 57644642807. The reversal of 57644642720 is 2724644675.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26897969 + ... + 26900111.

It is an arithmetic number, because the mean of its divisors is an integer number (569733696).

Almost surely, 2^57644642720 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 57644642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82041652224).

57644642720 is an abundant number, since it is smaller than the sum of its proper divisors (106438661728).

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

57644642720 is a wasteful number, since it uses less digits than its factorization.

57644642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 47.

The spelling of 57644642720 in words is "fifty-seven billion, six hundred forty-four million, six hundred forty-two thousand, seven hundred twenty".