57617194990464 has 640 divisors, whose sum is σ = 182244341664000. Its totient is φ = 18032685834240.

The previous prime is 57617194990447. The next prime is 57617194990469. The reversal of 57617194990464 is 46409949171675.

57617194990464 is a `hidden beast` number, since 5 + 7 + 6 + 1 + 71 + 9 + 4 + 9 + 90 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57617194990392 and 57617194990401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57617194990469) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2950028379 + ... + 2950047909.

It is an arithmetic number, because the mean of its divisors is an integer number (284756783850).

Almost surely, 2^{57617194990464} is an apocalyptic number.

57617194990464 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 57617194990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91122170832000).

57617194990464 is an abundant number, since it is smaller than the sum of its proper divisors (124627146673536).

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

57617194990464 is a wasteful number, since it uses less digits than its factorization.

57617194990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19808 (or 19787 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 57617194990464 in words is "fifty-seven trillion, six hundred seventeen billion, one hundred ninety-four million, nine hundred ninety thousand, four hundred sixty-four".