84509672984 has 96 divisors (see below), whose sum is σ = 182911219200. Its totient is φ = 36228329280.

The previous prime is 84509672971. The next prime is 84509673023. The reversal of 84509672984 is 48927690548.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116244029 + ... + 116244755.

It is an arithmetic number, because the mean of its divisors is an integer number (1905325200).

Almost surely, 2^84509672984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84509672984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91455609600).

84509672984 is an abundant number, since it is smaller than the sum of its proper divisors (98401546216).

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

84509672984 is a wasteful number, since it uses less digits than its factorization.

84509672984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 62.

The spelling of 84509672984 in words is "eighty-four billion, five hundred nine million, six hundred seventy-two thousand, nine hundred eighty-four".