32644872720 has 240 divisors, whose sum is σ = 116115068160. Its totient is φ = 8519841792.

The previous prime is 32644872703. The next prime is 32644872731. The reversal of 32644872720 is 2727844623.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895816 + ... + 931544.

It is an arithmetic number, because the mean of its divisors is an integer number (483812784).

Almost surely, 2^32644872720 is an apocalyptic number.

32644872720 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 32644872720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58057534080).

32644872720 is an abundant number, since it is smaller than the sum of its proper divisors (83470195440).

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

32644872720 is a wasteful number, since it uses less digits than its factorization.

32644872720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35804 (or 35786 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 32644872720 in words is "thirty-two billion, six hundred forty-four million, eight hundred seventy-two thousand, seven hundred twenty".