84168878976000 has 6336 divisors, whose sum is σ = 417301678085760. Its totient is φ = 16617465446400.

The previous prime is 84168878975999. The next prime is 84168878976047. The reversal of 84168878976000 is 67987886148.

84168878976000 is a `hidden beast` number, since 8 + 4 + 1 + 6 + 8 + 8 + 7 + 8 + 9 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 84168878976000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 486525311914 + ... + 486525312086.

Almost surely, 2^{84168878976000} is an apocalyptic number.

84168878976000 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 84168878976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208650839042880).

84168878976000 is an abundant number, since it is smaller than the sum of its proper divisors (333132799109760).

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

84168878976000 is a wasteful number, since it uses less digits than its factorization.

84168878976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 84168878976000 in words is "eighty-four trillion, one hundred sixty-eight billion, eight hundred seventy-eight million, nine hundred seventy-six thousand".