32655381264 has 225 divisors, whose sum is σ = 103243519379. Its totient is φ = 9628122240.

The previous prime is 32655381229. The next prime is 32655381281. The reversal of 32655381264 is 46218355623.

The square root of 32655381264 is 180708.

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

32655381264 is a `hidden beast` number, since 3 + 2 + 6 + 5 + 5 + 381 + 264 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20361006864 + 12294374400 = 142692^2 + 110880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 882577854 + ... + 882577890.

Almost surely, 2^32655381264 is an apocalyptic number.

32655381264 is the 180708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32655381264

32655381264 is an abundant number, since it is smaller than the sum of its proper divisors (70588138115).

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

32655381264 is an frugal number, since it uses more digits than its factorization.

32655381264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 53 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 32655381264 in words is "thirty-two billion, six hundred fifty-five million, three hundred eighty-one thousand, two hundred sixty-four".