32707445904 has 135 divisors (see below), whose sum is σ = 106529459673. Its totient is φ = 9340644096.

The previous prime is 32707445893. The next prime is 32707445923. The reversal of 32707445904 is 40954470723.

The square root of 32707445904 is 180852.

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., 2414739600 + 30292706304 = 49140^2 + 174048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32707445904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15190492 + ... + 15192644.

Almost surely, 2^32707445904 is an apocalyptic number.

32707445904 is the 180852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32707445904

32707445904 is an abundant number, since it is smaller than the sum of its proper divisors (73822013769).

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

32707445904 is an equidigital number, since it uses as much as digits as its factorization.

32707445904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 32707445904 in words is "thirty-two billion, seven hundred seven million, four hundred forty-five thousand, nine hundred four".