9721936000 has 256 divisors, whose sum is σ = 28096773120. Its totient is φ = 3276288000.

The previous prime is 9721935989. The next prime is 9721936019. The reversal of 9721936000 is 6391279.

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, 6831289 + ... + 6832711.

It is an arithmetic number, because the mean of its divisors is an integer number (109753020).

Almost surely, 2^9721936000 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 9721936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048386560).

9721936000 is an abundant number, since it is smaller than the sum of its proper divisors (18374837120).

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

9721936000 is a wasteful number, since it uses less digits than its factorization.

9721936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 9721936000 is about 98599.8782960709. The cubic root of 9721936000 is about 2134.2776635233.

The spelling of 9721936000 in words is "nine billion, seven hundred twenty-one million, nine hundred thirty-six thousand".