32957504640 has 256 divisors, whose sum is σ = 117450633600. Its totient is φ = 8734003200.

The previous prime is 32957504623. The next prime is 32957504647. The reversal of 32957504640 is 4640575923.

32957504640 is a `hidden beast` number, since 32 + 9 + 57 + 504 + 64 + 0 = 666.

It is a super-2 number, since 2×32957504640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (32957504647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2810790 + ... + 2822490.

Almost surely, 2^32957504640 is an apocalyptic number.

32957504640 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 32957504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58725316800).

32957504640 is an abundant number, since it is smaller than the sum of its proper divisors (84493128960).

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

32957504640 is a wasteful number, since it uses less digits than its factorization.

32957504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11892 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 32957504640 in words is "thirty-two billion, nine hundred fifty-seven million, five hundred four thousand, six hundred forty".