57840712609680 has 2880 divisors, whose sum is σ = 271777700113920. Its totient is φ = 10833680793600.

The previous prime is 57840712609649. The next prime is 57840712609709. The reversal of 57840712609680 is 8690621704875.

57840712609680 is a `hidden beast` number, since 5 + 7 + 8 + 4 + 0 + 7 + 12 + 609 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 40476355206 + ... + 40476356634.

It is an arithmetic number, because the mean of its divisors is an integer number (94367256984).

Almost surely, 2^{57840712609680} 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 57840712609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135888850056960).

57840712609680 is an abundant number, since it is smaller than the sum of its proper divisors (213936987504240).

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

57840712609680 is a wasteful number, since it uses less digits than its factorization.

57840712609680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 57840712609680 in words is "fifty-seven trillion, eight hundred forty billion, seven hundred twelve million, six hundred nine thousand, six hundred eighty".