180332127360 has 1728 divisors, whose sum is σ = 833735972160. Its totient is φ = 36458864640.

The previous prime is 180332127341. The next prime is 180332127373. The reversal of 180332127360 is 63721233081.

180332127360 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 321 + 273 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4873841262 + ... + 4873841298.

It is an arithmetic number, because the mean of its divisors is an integer number (482486095).

Almost surely, 2^180332127360 is an apocalyptic number.

180332127360 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 180332127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416867986080).

180332127360 is an abundant number, since it is smaller than the sum of its proper divisors (653403844800).

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

180332127360 is an equidigital number, since it uses as much as digits as its factorization.

180332127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 180332127360 in words is "one hundred eighty billion, three hundred thirty-two million, one hundred twenty-seven thousand, three hundred sixty".