180872467776 has 896 divisors, whose sum is σ = 756052254720. Its totient is φ = 40808448000.

The previous prime is 180872467753. The next prime is 180872467781. The reversal of 180872467776 is 677764278081.

180872467776 is a `hidden beast` number, since 180 + 87 + 246 + 77 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 29402301 + ... + 29408451.

It is an arithmetic number, because the mean of its divisors is an integer number (843808320).

Almost surely, 2^180872467776 is an apocalyptic number.

180872467776 is a gapful number since it is divisible by the number (16) 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 180872467776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378026127360).

180872467776 is an abundant number, since it is smaller than the sum of its proper divisors (575179786944).

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

180872467776 is a wasteful number, since it uses less digits than its factorization.

180872467776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 180872467776 in words is "one hundred eighty billion, eight hundred seventy-two million, four hundred sixty-seven thousand, seven hundred seventy-six".