57461778432 has 576 divisors, whose sum is σ = 186024384000. Its totient is φ = 17665081344.

The previous prime is 57461778427. The next prime is 57461778463. The reversal of 57461778432 is 23487716475.

57461778432 is a `hidden beast` number, since 5 + 7 + 461 + 77 + 84 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557881293 + ... + 557881395.

It is an arithmetic number, because the mean of its divisors is an integer number (322959000).

Almost surely, 2^57461778432 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 57461778432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93012192000).

57461778432 is an abundant number, since it is smaller than the sum of its proper divisors (128562605568).

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

57461778432 is a wasteful number, since it uses less digits than its factorization.

57461778432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 57461778432 in words is "fifty-seven billion, four hundred sixty-one million, seven hundred seventy-eight thousand, four hundred thirty-two".