8979424819200 has 1152 divisors, whose sum is σ = 36101939328000. Its totient is φ = 2169549619200.

The previous prime is 8979424819151. The next prime is 8979424819283. The reversal of 8979424819200 is 29184249798.

8979424819200 is a `hidden beast` number, since 8 + 97 + 9 + 42 + 481 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5580747996 + ... + 5580749604.

It is an arithmetic number, because the mean of its divisors is an integer number (31338489000).

Almost surely, 2^{8979424819200} is an apocalyptic number.

8979424819200 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 8979424819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050969664000).

8979424819200 is an abundant number, since it is smaller than the sum of its proper divisors (27122514508800).

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

8979424819200 is a wasteful number, since it uses less digits than its factorization.

8979424819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 8979424819200 in words is "eight trillion, nine hundred seventy-nine billion, four hundred twenty-four million, eight hundred nineteen thousand, two hundred".