84180672352 has 96 divisors (see below), whose sum is σ = 200647056960. Its totient is φ = 33938472960.

The previous prime is 84180672337. The next prime is 84180672361. The reversal of 84180672352 is 25327608148.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10235602 + ... + 10243822.

It is an arithmetic number, because the mean of its divisors is an integer number (2090073510).

Almost surely, 2^84180672352 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 84180672352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100323528480).

84180672352 is an abundant number, since it is smaller than the sum of its proper divisors (116466384608).

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

84180672352 is a wasteful number, since it uses less digits than its factorization.

84180672352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 84180672352 in words is "eighty-four billion, one hundred eighty million, six hundred seventy-two thousand, three hundred fifty-two".