57679914240 has 1152 divisors, whose sum is σ = 241061184000. Its totient is φ = 12931301376.

The previous prime is 57679914239. The next prime is 57679914241. The reversal of 57679914240 is 4241997675.

It is an interprime number because it is at equal distance from previous prime (57679914239) and next prime (57679914241).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57679914241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 247553164 + ... + 247553396.

It is an arithmetic number, because the mean of its divisors is an integer number (209254500).

Almost surely, 2^57679914240 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 57679914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120530592000).

57679914240 is an abundant number, since it is smaller than the sum of its proper divisors (183381269760).

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

57679914240 is a wasteful number, since it uses less digits than its factorization.

57679914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 57679914240 in words is "fifty-seven billion, six hundred seventy-nine million, nine hundred fourteen thousand, two hundred forty".