84391372800 has 2016 divisors, whose sum is σ = 399602548800. Its totient is φ = 17199267840.

The previous prime is 84391372787. The next prime is 84391372801. The reversal of 84391372800 is 827319348.

84391372800 is a `hidden beast` number, since 8 + 439 + 137 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (84391372801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4441651191 + ... + 4441651209.

It is an arithmetic number, because the mean of its divisors is an integer number (198215550).

Almost surely, 2^84391372800 is an apocalyptic number.

84391372800 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 84391372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199801274400).

84391372800 is an abundant number, since it is smaller than the sum of its proper divisors (315211176000).

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

84391372800 is a wasteful number, since it uses less digits than its factorization.

84391372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 84391372800 in words is "eighty-four billion, three hundred ninety-one million, three hundred seventy-two thousand, eight hundred".