180799740576 has 576 divisors, whose sum is σ = 681988930560. Its totient is φ = 46140917760.

The previous prime is 180799740497. The next prime is 180799740593. The reversal of 180799740576 is 675047997081.

180799740576 is a `hidden beast` number, since 1 + 8 + 0 + 79 + 97 + 405 + 76 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17056110 + ... + 17066706.

It is an arithmetic number, because the mean of its divisors is an integer number (1184008560).

Almost surely, 2^180799740576 is an apocalyptic number.

180799740576 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 180799740576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340994465280).

180799740576 is an abundant number, since it is smaller than the sum of its proper divisors (501189189984).

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

180799740576 is a wasteful number, since it uses less digits than its factorization.

180799740576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10674 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 180799740576 in words is "one hundred eighty billion, seven hundred ninety-nine million, seven hundred forty thousand, five hundred seventy-six".