57468965632 has 72 divisors (see below), whose sum is σ = 123610818240. Its totient is φ = 26508410880.

The previous prime is 57468965591. The next prime is 57468965633. The reversal of 57468965632 is 23656986475.

It is not an unprimeable number, because it can be changed into a prime (57468965633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7081257 + ... + 7089367.

It is an arithmetic number, because the mean of its divisors is an integer number (1716816920).

Almost surely, 2^57468965632 is an apocalyptic number.

57468965632 is a gapful number since it is divisible by the number (52) 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 57468965632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61805409120).

57468965632 is an abundant number, since it is smaller than the sum of its proper divisors (66141852608).

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

57468965632 is a wasteful number, since it uses less digits than its factorization.

57468965632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10269 (or 10255 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 61.

The spelling of 57468965632 in words is "fifty-seven billion, four hundred sixty-eight million, nine hundred sixty-five thousand, six hundred thirty-two".