9926737920 has 720 divisors, whose sum is σ = 41108216688. Its totient is φ = 2264924160.

The previous prime is 9926737879. The next prime is 9926737927. The reversal of 9926737920 is 297376299.

9926737920 is a `hidden beast` number, since 9 + 9 + 267 + 379 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9926737927) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 583925752 + ... + 583925768.

Almost surely, 2^9926737920 is an apocalyptic number.

9926737920 is a gapful number since it is divisible by the number (90) 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 9926737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20554108344).

9926737920 is an abundant number, since it is smaller than the sum of its proper divisors (31181478768).

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

9926737920 is an equidigital number, since it uses as much as digits as its factorization.

9926737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 9926737920 is about 99633.0162145059. The cubic root of 9926737920 is about 2149.1605101856.

The spelling of 9926737920 in words is "nine billion, nine hundred twenty-six million, seven hundred thirty-seven thousand, nine hundred twenty".