57640309932744 has 768 divisors, whose sum is σ = 217369769011200. Its totient is φ = 13321818316800.

The previous prime is 57640309932713. The next prime is 57640309932749. The reversal of 57640309932744 is 44723990304675.

It is a happy number.

57640309932744 is a `hidden beast` number, since 5 + 76 + 403 + 0 + 9 + 93 + 2 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (57640309932749) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 879206814 + ... + 879272370.

It is an arithmetic number, because the mean of its divisors is an integer number (283033553400).

Almost surely, 2^{57640309932744} 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 57640309932744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108684884505600).

57640309932744 is an abundant number, since it is smaller than the sum of its proper divisors (159729459078456).

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

57640309932744 is a wasteful number, since it uses less digits than its factorization.

57640309932744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66114 (or 66107 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 57640309932744 in words is "fifty-seven trillion, six hundred forty billion, three hundred nine million, nine hundred thirty-two thousand, seven hundred forty-four".