180760481280 has 800 divisors, whose sum is σ = 682759300608. Its totient is φ = 45619200000.

The previous prime is 180760481269. The next prime is 180760481333. The reversal of 180760481280 is 82184067081.

180760481280 is a `hidden beast` number, since 1 + 80 + 76 + 0 + 481 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 720161155 + ... + 720161405.

Almost surely, 2^180760481280 is an apocalyptic number.

180760481280 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 180760481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341379650304).

180760481280 is an abundant number, since it is smaller than the sum of its proper divisors (501998819328).

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

180760481280 is a wasteful number, since it uses less digits than its factorization.

180760481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 180760481280 in words is "one hundred eighty billion, seven hundred sixty million, four hundred eighty-one thousand, two hundred eighty".