652800321072 has 120 divisors (see below), whose sum is σ = 1839341649600. Its totient is φ = 216125230464.

The previous prime is 652800321053. The next prime is 652800321073. The reversal of 652800321072 is 270123008256.

It is a super-2 number, since 2×652800321072² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (652800321073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22126843 + ... + 22156325.

It is an arithmetic number, because the mean of its divisors is an integer number (15327847080).

Almost surely, 2^652800321072 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 652800321072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919670824800).

652800321072 is an abundant number, since it is smaller than the sum of its proper divisors (1186541328528).

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

652800321072 is a wasteful number, since it uses less digits than its factorization.

652800321072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30535 (or 30526 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 652800321072 in words is "six hundred fifty-two billion, eight hundred million, three hundred twenty-one thousand, seventy-two".