32806915680 has 192 divisors, whose sum is σ = 128841850368. Its totient is φ = 6817013760.

The previous prime is 32806915657. The next prime is 32806915681. The reversal of 32806915680 is 8651960823.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32806915681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406857 + ... + 480776.

It is an arithmetic number, because the mean of its divisors is an integer number (671051304).

Almost surely, 2^32806915680 is an apocalyptic number.

32806915680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32806915680 is an abundant number, since it is smaller than the sum of its proper divisors (96034934688).

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

32806915680 is a wasteful number, since it uses less digits than its factorization.

32806915680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887669 (or 887661 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 32806915680 in words is "thirty-two billion, eight hundred six million, nine hundred fifteen thousand, six hundred eighty".