9972903920 has 160 divisors (see below), whose sum is σ = 27973209600. Its totient is φ = 3230143488.

The previous prime is 9972903911. The next prime is 9972903959. The reversal of 9972903920 is 293092799.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4457042 + ... + 4459278.

It is an arithmetic number, because the mean of its divisors is an integer number (174832560).

Almost surely, 2^9972903920 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 9972903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986604800).

9972903920 is an abundant number, since it is smaller than the sum of its proper divisors (18000305680).

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

9972903920 is a wasteful number, since it uses less digits than its factorization.

9972903920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 50.

The square root of 9972903920 is about 99864.4277007584. The cubic root of 9972903920 is about 2152.4870386901.

The spelling of 9972903920 in words is "nine billion, nine hundred seventy-two million, nine hundred three thousand, nine hundred twenty".