32479630950960 has 480 divisors, whose sum is σ = 116170054640640. Its totient is φ = 8429553598464.

The previous prime is 32479630950937. The next prime is 32479630950971. The reversal of 32479630950960 is 6905903697423.

32479630950960 is a `hidden beast` number, since 3 + 2 + 4 + 7 + 9 + 63 + 0 + 9 + 509 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163449424 + ... + 163648016.

It is an arithmetic number, because the mean of its divisors is an integer number (242020947168).

Almost surely, 2^{32479630950960} is an apocalyptic number.

32479630950960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32479630950960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58085027320320).

32479630950960 is an abundant number, since it is smaller than the sum of its proper divisors (83690423689680).

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

32479630950960 is a wasteful number, since it uses less digits than its factorization.

32479630950960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198847 (or 198829 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 32479630950960 in words is "thirty-two trillion, four hundred seventy-nine billion, six hundred thirty million, nine hundred fifty thousand, nine hundred sixty".