32830540864 has 189 divisors, whose sum is σ = 75222767893. Its totient is φ = 14205452800.

The previous prime is 32830540849. The next prime is 32830540871. The reversal of 32830540864 is 46804503823.

The square root of 32830540864 is 181192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17215539264 + 15615001600 = 131208^2 + 124960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32830540864.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 462401949 + ... + 462402019.

Almost surely, 2^32830540864 is an apocalyptic number.

32830540864 is the 181192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32830540864

32830540864 is an abundant number, since it is smaller than the sum of its proper divisors (42392227029).

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

32830540864 is an equidigital number, since it uses as much as digits as its factorization.

32830540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 32830540864 in words is "thirty-two billion, eight hundred thirty million, five hundred forty thousand, eight hundred sixty-four".