180649056768 has 480 divisors, whose sum is σ = 551186114688. Its totient is φ = 52293795840.

The previous prime is 180649056761. The next prime is 180649056779. The reversal of 180649056768 is 867650946081.

It is a super-2 number, since 2×180649056768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (180649056761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577153380 + ... + 577153692.

Almost surely, 2^180649056768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180649056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275593057344).

180649056768 is an abundant number, since it is smaller than the sum of its proper divisors (370537057920).

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

180649056768 is a wasteful number, since it uses less digits than its factorization.

180649056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 180649056768 in words is "one hundred eighty billion, six hundred forty-nine million, fifty-six thousand, seven hundred sixty-eight".