57684306384 has 80 divisors (see below), whose sum is σ = 165606632640. Its totient is φ = 19224466560.

The previous prime is 57684306311. The next prime is 57684306389. The reversal of 57684306384 is 48360348675.

57684306384 is a `hidden beast` number, since 5 + 76 + 8 + 430 + 63 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57684306384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57684306389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3248859 + ... + 3266565.

It is an arithmetic number, because the mean of its divisors is an integer number (2070082908).

Almost surely, 2^57684306384 is an apocalyptic number.

57684306384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

57684306384 is an abundant number, since it is smaller than the sum of its proper divisors (107922326256).

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

57684306384 is a wasteful number, since it uses less digits than its factorization.

57684306384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25265 (or 25253 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 57684306384 in words is "fifty-seven billion, six hundred eighty-four million, three hundred six thousand, three hundred eighty-four".