32309480644272 has 240 divisors, whose sum is σ = 98844284185920. Its totient is φ = 9791967854592.

The previous prime is 32309480644249. The next prime is 32309480644277. The reversal of 32309480644272 is 27244608490323.

32309480644272 is a `hidden beast` number, since 3 + 2 + 30 + 9 + 480 + 64 + 4 + 2 + 72 = 666.

32309480644272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (32309480644277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101376304 + ... + 101694512.

It is an arithmetic number, because the mean of its divisors is an integer number (411851184108).

Almost surely, 2^{32309480644272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32309480644272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49422142092960).

32309480644272 is an abundant number, since it is smaller than the sum of its proper divisors (66534803541648).

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

32309480644272 is a wasteful number, since it uses less digits than its factorization.

32309480644272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319052 (or 319043 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 32309480644272 in words is "thirty-two trillion, three hundred nine billion, four hundred eighty million, six hundred forty-four thousand, two hundred seventy-two".