9721824000 has 1152 divisors, whose sum is σ = 41875771392. Its totient is φ = 1946419200.

The previous prime is 9721823999. The next prime is 9721824011. The reversal of 9721824000 is 4281279.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 262751982 + ... + 262752018.

It is an arithmetic number, because the mean of its divisors is an integer number (36350496).

Almost surely, 2^9721824000 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 9721824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20937885696).

9721824000 is an abundant number, since it is smaller than the sum of its proper divisors (32153947392).

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

9721824000 is a wasteful number, since it uses less digits than its factorization.

9721824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 9721824000 is about 98599.3103424157. The cubic root of 9721824000 is about 2134.2694676243.

The spelling of 9721824000 in words is "nine billion, seven hundred twenty-one million, eight hundred twenty-four thousand".