9936823680 has 1152 divisors, whose sum is σ = 44895708000. Its totient is φ = 2006581248.

The previous prime is 9936823679. The next prime is 9936823691. The reversal of 9936823680 is 863286399.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91163466 + ... + 91163574.

Almost surely, 2^9936823680 is an apocalyptic number.

9936823680 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 9936823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22447854000).

9936823680 is an abundant number, since it is smaller than the sum of its proper divisors (34958884320).

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

9936823680 is a wasteful number, since it uses less digits than its factorization.

9936823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 9936823680 is about 99683.6179118716. The cubic root of 9936823680 is about 2149.8881268632. Note that the first 3 decimals are identical.

The spelling of 9936823680 in words is "nine billion, nine hundred thirty-six million, eight hundred twenty-three thousand, six hundred eighty".