84980687048320 has 384 divisors, whose sum is σ = 238240110556800. Its totient is φ = 28900387676160.

The previous prime is 84980687048281. The next prime is 84980687048363. The reversal of 84980687048320 is 2384078608948.

It is a super-3 number, since 3×84980687048320³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13363841301 + ... + 13363847659.

It is an arithmetic number, because the mean of its divisors is an integer number (620416954575).

Almost surely, 2^{84980687048320} is an apocalyptic number.

84980687048320 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 84980687048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119120055278400).

84980687048320 is an abundant number, since it is smaller than the sum of its proper divisors (153259423508480).

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

84980687048320 is a wasteful number, since it uses less digits than its factorization.

84980687048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 67.

The spelling of 84980687048320 in words is "eighty-four trillion, nine hundred eighty billion, six hundred eighty-seven million, forty-eight thousand, three hundred twenty".