32460779520 has 1248 divisors, whose sum is σ = 137388625920. Its totient is φ = 7007109120.

The previous prime is 32460779509. The next prime is 32460779521. The reversal of 32460779520 is 2597706423.

32460779520 is a `hidden beast` number, since 32 + 4 + 607 + 7 + 9 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (32460779521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1047121905 + ... + 1047121935.

It is an arithmetic number, because the mean of its divisors is an integer number (110087040).

Almost surely, 2^32460779520 is an apocalyptic number.

32460779520 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 32460779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68694312960).

32460779520 is an abundant number, since it is smaller than the sum of its proper divisors (104927846400).

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

32460779520 is a wasteful number, since it uses less digits than its factorization.

32460779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 32460779520 in words is "thirty-two billion, four hundred sixty million, seven hundred seventy-nine thousand, five hundred twenty".