9721524960 has 384 divisors, whose sum is σ = 39162009600. Its totient is φ = 2206310400.

The previous prime is 9721524959. The next prime is 9721524983. The reversal of 9721524960 is 694251279.

9721524960 is a `hidden beast` number, since 9 + 7 + 2 + 152 + 496 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4565176 + ... + 4567304.

It is an arithmetic number, because the mean of its divisors is an integer number (101984400).

Almost surely, 2^9721524960 is an apocalyptic number.

9721524960 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 9721524960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19581004800).

9721524960 is an abundant number, since it is smaller than the sum of its proper divisors (29440484640).

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

9721524960 is a wasteful number, since it uses less digits than its factorization.

9721524960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9721524960 is about 98597.7938901272. The cubic root of 9721524960 is about 2134.2475842656.

The spelling of 9721524960 in words is "nine billion, seven hundred twenty-one million, five hundred twenty-four thousand, nine hundred sixty".