180804648960 has 760 divisors, whose sum is σ = 703408604976. Its totient is φ = 44166021120.

The previous prime is 180804648887. The next prime is 180804649019. The reversal of 180804648960 is 69846408081.

180804648960 is a `hidden beast` number, since 1 + 80 + 80 + 4 + 6 + 489 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 180804648897 and 180804648906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1380188095 + ... + 1380188225.

Almost surely, 2^180804648960 is an apocalyptic number.

180804648960 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 180804648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351704302488).

180804648960 is an abundant number, since it is smaller than the sum of its proper divisors (522603956016).

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

180804648960 is an frugal number, since it uses more digits than its factorization.

180804648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 180804648960 in words is "one hundred eighty billion, eight hundred four million, six hundred forty-eight thousand, nine hundred sixty".