7372561804920 has 768 divisors, whose sum is σ = 27988139088000. Its totient is φ = 1667289858048.

The previous prime is 7372561804897. The next prime is 7372561804961. The reversal of 7372561804920 is 294081652737.

It is a happy number.

7372561804920 is a `hidden beast` number, since 7 + 3 + 72 + 5 + 6 + 1 + 80 + 492 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1042939146 + ... + 1042946214.

It is a 2-persistent number, because it is pandigital, and so is 2⋅7372561804920 = 14745123609840, but 3⋅7372561804920 = 22117685414760 is not.

Almost surely, 2^{7372561804920} 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 7372561804920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994069544000).

7372561804920 is an abundant number, since it is smaller than the sum of its proper divisors (20615577283080).

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

7372561804920 is a wasteful number, since it uses less digits than its factorization.

7372561804920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7472 (or 7465 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 7372561804920 in words is "seven trillion, three hundred seventy-two billion, five hundred sixty-one million, eight hundred four thousand, nine hundred twenty".