84615084960 has 576 divisors, whose sum is σ = 318123251712. Its totient is φ = 18514944000.

The previous prime is 84615084959. The next prime is 84615084973. The reversal of 84615084960 is 6948051648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401019255 + ... + 401019465.

It is an arithmetic number, because the mean of its divisors is an integer number (552297312).

Almost surely, 2^84615084960 is an apocalyptic number.

84615084960 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 84615084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159061625856).

84615084960 is an abundant number, since it is smaller than the sum of its proper divisors (233508166752).

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

84615084960 is a wasteful number, since it uses less digits than its factorization.

84615084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 84615084960 in words is "eighty-four billion, six hundred fifteen million, eighty-four thousand, nine hundred sixty".