9920524320 has 432 divisors, whose sum is σ = 40065217920. Its totient is φ = 2228179968.

The previous prime is 9920524307. The next prime is 9920524331. The reversal of 9920524320 is 234250299.

9920524320 is a `hidden beast` number, since 99 + 20 + 524 + 3 + 20 = 666.

It is a super-2 number, since 2×9920524320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4161849 + ... + 4164231.

It is an arithmetic number, because the mean of its divisors is an integer number (92743560).

Almost surely, 2^9920524320 is an apocalyptic number.

9920524320 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 9920524320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20032608960).

9920524320 is an abundant number, since it is smaller than the sum of its proper divisors (30144693600).

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

9920524320 is a wasteful number, since it uses less digits than its factorization.

9920524320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9920524320 is about 99601.8288988711. The cubic root of 9920524320 is about 2148.7119972527.

The spelling of 9920524320 in words is "nine billion, nine hundred twenty million, five hundred twenty-four thousand, three hundred twenty".