8979523920 has 200 divisors, whose sum is σ = 31240578600. Its totient is φ = 2390446080.

The previous prime is 8979523907. The next prime is 8979523933. The reversal of 8979523920 is 293259798.

8979523920 is a `hidden beast` number, since 8 + 97 + 9 + 523 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (8979523907) and next prime (8979523933).

It can be written as a sum of positive squares in 4 ways, for example, as 4747761216 + 4231762704 = 68904^2 + 65052^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6796860 + ... + 6798180.

It is an arithmetic number, because the mean of its divisors is an integer number (156202893).

Almost surely, 2^8979523920 is an apocalyptic number.

8979523920 is a gapful number since it is divisible by the number (80) 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 8979523920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620289300).

8979523920 is an abundant number, since it is smaller than the sum of its proper divisors (22261054680).

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

8979523920 is a wasteful number, since it uses less digits than its factorization.

8979523920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 8979523920 is about 94760.3499360360. The cubic root of 8979523920 is about 2078.5051451162.

The spelling of 8979523920 in words is "eight billion, nine hundred seventy-nine million, five hundred twenty-three thousand, nine hundred twenty".