180804384000 has 432 divisors, whose sum is σ = 688875379920. Its totient is φ = 45377126400.

The previous prime is 180804383987. The next prime is 180804384011. The reversal of 180804384000 is 483408081.

180804384000 is a `hidden beast` number, since 180 + 8 + 0 + 438 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20009799936 + 160794584064 = 141456^2 + 400992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4877536 + ... + 4914464.

It is an arithmetic number, because the mean of its divisors is an integer number (1594618935).

Almost surely, 2^180804384000 is an apocalyptic number.

180804384000 is a gapful number since it is divisible by the number (10) 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 180804384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344437689960).

180804384000 is an abundant number, since it is smaller than the sum of its proper divisors (508070995920).

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

180804384000 is a wasteful number, since it uses less digits than its factorization.

180804384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36983 (or 36956 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 180804384000 in words is "one hundred eighty billion, eight hundred four million, three hundred eighty-four thousand".