32457912960 has 256 divisors, whose sum is σ = 113230379520. Its totient is φ = 7843123200.

The previous prime is 32457912953. The next prime is 32457912979. The reversal of 32457912960 is 6921975423.

It is a super-2 number, since 2×32457912960² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6988399 + ... + 6993041.

It is an arithmetic number, because the mean of its divisors is an integer number (442306170).

Almost surely, 2^32457912960 is an apocalyptic number.

32457912960 is a gapful number since it is divisible by the number (30) 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 32457912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56615189760).

32457912960 is an abundant number, since it is smaller than the sum of its proper divisors (80772466560).

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

32457912960 is a wasteful number, since it uses less digits than its factorization.

32457912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 32457912960 in words is "thirty-two billion, four hundred fifty-seven million, nine hundred twelve thousand, nine hundred sixty".