180874785760 has 192 divisors, whose sum is σ = 473346115200. Its totient is φ = 64964984832.

The previous prime is 180874785757. The next prime is 180874785769. The reversal of 180874785760 is 67587478081.

180874785760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180874785769) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25583506 + ... + 25590574.

It is an arithmetic number, because the mean of its divisors is an integer number (2465344350).

Almost surely, 2^180874785760 is an apocalyptic number.

180874785760 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 180874785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236673057600).

180874785760 is an abundant number, since it is smaller than the sum of its proper divisors (292471329440).

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

180874785760 is a wasteful number, since it uses less digits than its factorization.

180874785760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7525 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 61.

The spelling of 180874785760 in words is "one hundred eighty billion, eight hundred seventy-four million, seven hundred eighty-five thousand, seven hundred sixty".