9926113680 has 960 divisors, whose sum is σ = 43842193920. Its totient is φ = 2014543872.

The previous prime is 9926113633. The next prime is 9926113709. The reversal of 9926113680 is 863116299.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 135974124 + ... + 135974196.

It is an arithmetic number, because the mean of its divisors is an integer number (45668952).

Almost surely, 2^9926113680 is an apocalyptic number.

9926113680 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 9926113680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21921096960).

9926113680 is an abundant number, since it is smaller than the sum of its proper divisors (33916080240).

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

9926113680 is a wasteful number, since it uses less digits than its factorization.

9926113680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9926113680 is about 99629.8834687665. The cubic root of 9926113680 is about 2149.1154594653.

The spelling of 9926113680 in words is "nine billion, nine hundred twenty-six million, one hundred thirteen thousand, six hundred eighty".