32404009772304 has 135 divisors (see below), whose sum is σ = 92665950149253. Its totient is φ = 10570473507456.

The previous prime is 32404009772291. The next prime is 32404009772333. The reversal of 32404009772304 is 40327790040423.

The square root of 32404009772304 is 5692452.

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

32404009772304 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 400 + 9 + 7 + 7 + 230 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16513007504400 + 15891002267904 = 4063620^2 + 3986352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32404009772304.

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, 3210537882 + ... + 3210547974.

Almost surely, 2^{32404009772304} is an apocalyptic number.

32404009772304 is the 5692452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32404009772304

32404009772304 is an abundant number, since it is smaller than the sum of its proper divisors (60261940376949).

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

32404009772304 is an frugal number, since it uses more digits than its factorization.

32404009772304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20294 (or 10145 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 32404009772304 in words is "thirty-two trillion, four hundred four billion, nine million, seven hundred seventy-two thousand, three hundred four".