180339793920 has 1008 divisors, whose sum is σ = 742373233056. Its totient is φ = 40225996800.

The previous prime is 180339793903. The next prime is 180339793927. The reversal of 180339793920 is 29397933081.

180339793920 is a `hidden beast` number, since 1 + 80 + 3 + 397 + 93 + 92 + 0 = 666.

180339793920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×180339793920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180339793927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579870565 + ... + 579870875.

It is an arithmetic number, because the mean of its divisors is an integer number (736481382).

Almost surely, 2^180339793920 is an apocalyptic number.

180339793920 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 180339793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371186616528).

180339793920 is an abundant number, since it is smaller than the sum of its proper divisors (562033439136).

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

180339793920 is a wasteful number, since it uses less digits than its factorization.

180339793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 180339793920 in words is "one hundred eighty billion, three hundred thirty-nine million, seven hundred ninety-three thousand, nine hundred twenty".