57464104679424 has 480 divisors, whose sum is σ = 179225282396160. Its totient is φ = 18309444747264.

The previous prime is 57464104679389. The next prime is 57464104679459. The reversal of 57464104679424 is 42497640146475.

57464104679424 is a `hidden beast` number, since 5 + 7 + 4 + 64 + 1 + 0 + 467 + 94 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (57464104679389) and next prime (57464104679459).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6802896769 + ... + 6802905215.

It is an arithmetic number, because the mean of its divisors is an integer number (373386004992).

Almost surely, 2^{57464104679424} is an apocalyptic number.

57464104679424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57464104679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89612641198080).

57464104679424 is an abundant number, since it is smaller than the sum of its proper divisors (121761177716736).

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

57464104679424 is a wasteful number, since it uses less digits than its factorization.

57464104679424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10287 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 57464104679424 in words is "fifty-seven trillion, four hundred sixty-four billion, one hundred four million, six hundred seventy-nine thousand, four hundred twenty-four".