9996900960 has 192 divisors, whose sum is σ = 31891817664. Its totient is φ = 2632089600.

The previous prime is 9996900931. The next prime is 9996901007. The reversal of 9996900960 is 690096999.

It is a self number, because there is not a number n which added to its sum of digits gives 9996900960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18478290 + ... + 18478830.

It is an arithmetic number, because the mean of its divisors is an integer number (166103217).

Almost surely, 2^9996900960 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 9996900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945908832).

9996900960 is an abundant number, since it is smaller than the sum of its proper divisors (21894916704).

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

9996900960 is a wasteful number, since it uses less digits than its factorization.

9996900960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 57.

The square root of 9996900960 is about 99984.5035993078. The cubic root of 9996900960 is about 2154.2121110615.

The spelling of 9996900960 in words is "nine billion, nine hundred ninety-six million, nine hundred thousand, nine hundred sixty".