84662987996160 has 2816 divisors, whose sum is σ = 389829500928000. Its totient is φ = 16958478090240.

The previous prime is 84662987996089. The next prime is 84662987996161. The reversal of 84662987996160 is 6169978926648.

84662987996160 is a `hidden beast` number, since 8 + 466 + 2 + 9 + 8 + 7 + 9 + 96 + 1 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 84662987996160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84662987996161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18441075465 + ... + 18441080055.

Almost surely, 2^{84662987996160} is an apocalyptic number.

84662987996160 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 84662987996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194914750464000).

84662987996160 is an abundant number, since it is smaller than the sum of its proper divisors (305166512931840).

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

84662987996160 is a wasteful number, since it uses less digits than its factorization.

84662987996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 84662987996160 in words is "eighty-four trillion, six hundred sixty-two billion, nine hundred eighty-seven million, nine hundred ninety-six thousand, one hundred sixty".