8979163200 has 672 divisors, whose sum is σ = 39065118720. Its totient is φ = 1961625600.

The previous prime is 8979163189. The next prime is 8979163201. The reversal of 8979163200 is 23619798.

8979163200 is a `hidden beast` number, since 8 + 9 + 7 + 9 + 1 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (8979163201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6954555 + ... + 6955845.

Almost surely, 2^8979163200 is an apocalyptic number.

8979163200 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 8979163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19532559360).

8979163200 is an abundant number, since it is smaller than the sum of its proper divisors (30085955520).

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

8979163200 is a wasteful number, since it uses less digits than its factorization.

8979163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 8979163200 is about 94758.4465892091. The cubic root of 8979163200 is about 2078.4773125933.

The spelling of 8979163200 in words is "eight billion, nine hundred seventy-nine million, one hundred sixty-three thousand, two hundred".