9936331920 has 120 divisors (see below), whose sum is σ = 33396023232. Its totient is φ = 2647584000.

The previous prime is 9936331883. The next prime is 9936331949. The reversal of 9936331920 is 291336399.

9936331920 is a `hidden beast` number, since 9 + 9 + 3 + 633 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039965 + ... + 1049475.

Almost surely, 2^9936331920 is an apocalyptic number.

9936331920 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 9936331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16698011616).

9936331920 is an abundant number, since it is smaller than the sum of its proper divisors (23459691312).

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

9936331920 is a wasteful number, since it uses less digits than its factorization.

9936331920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10981 (or 10972 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The square root of 9936331920 is about 99681.1512774607. The cubic root of 9936331920 is about 2149.8526612570.

The spelling of 9936331920 in words is "nine billion, nine hundred thirty-six million, three hundred thirty-one thousand, nine hundred twenty".