8979973632000 has 2184 divisors, whose sum is σ = 39167120549232. Its totient is φ = 2048385024000.

The previous prime is 8979973631987. The next prime is 8979973632013. The reversal of 8979973632000 is 2363799798.

It is an interprime number because it is at equal distance from previous prime (8979973631987) and next prime (8979973632013).

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 (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 18289151755 + ... + 18289152245.

Almost surely, 2^{8979973632000} is an apocalyptic number.

8979973632000 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 8979973632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19583560274616).

8979973632000 is an abundant number, since it is smaller than the sum of its proper divisors (30187146917232).

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

8979973632000 is an frugal number, since it uses more digits than its factorization.

8979973632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 8979973632000 in words is "eight trillion, nine hundred seventy-nine billion, nine hundred seventy-three million, six hundred thirty-two thousand".