8979336424800 has 864 divisors, whose sum is σ = 36437844328704. Its totient is φ = 2038224384000.

The previous prime is 8979336424733. The next prime is 8979336424859. The reversal of 8979336424800 is 84246339798.

8979336424800 is a `hidden beast` number, since 8 + 9 + 7 + 93 + 3 + 64 + 2 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8794648290 + ... + 8794649310.

It is an arithmetic number, because the mean of its divisors is an integer number (42173430936).

Almost surely, 2^{8979336424800} is an apocalyptic number.

8979336424800 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 8979336424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18218922164352).

8979336424800 is an abundant number, since it is smaller than the sum of its proper divisors (27458507903904).

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

8979336424800 is a wasteful number, since it uses less digits than its factorization.

8979336424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 8979336424800 in words is "eight trillion, nine hundred seventy-nine billion, three hundred thirty-six million, four hundred twenty-four thousand, eight hundred".