9937920608 has 96 divisors (see below), whose sum is σ = 24853651200. Its totient is φ = 3798812160.

The previous prime is 9937920583. The next prime is 9937920611. The reversal of 9937920608 is 8060297399.

It is a super-2 number, since 2×9937920608² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 9937920608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92543 + ... + 168641.

It is an arithmetic number, because the mean of its divisors is an integer number (258892200).

Almost surely, 2^9937920608 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 9937920608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12426825600).

9937920608 is an abundant number, since it is smaller than the sum of its proper divisors (14915730592).

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

9937920608 is a wasteful number, since it uses less digits than its factorization.

9937920608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76180 (or 76172 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 53.

The square root of 9937920608 is about 99689.1198075296. The cubic root of 9937920608 is about 2149.9672328159.

The spelling of 9937920608 in words is "nine billion, nine hundred thirty-seven million, nine hundred twenty thousand, six hundred eight".