180980490240 has 1568 divisors, whose sum is σ = 773565940800. Its totient is φ = 40131624960.

The previous prime is 180980490233. The next prime is 180980490289. The reversal of 180980490240 is 42094089081.

180980490240 is a `hidden beast` number, since 1 + 80 + 9 + 80 + 490 + 2 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6240706546 + ... + 6240706574.

Almost surely, 2^180980490240 is an apocalyptic number.

180980490240 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 180980490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386782970400).

180980490240 is an abundant number, since it is smaller than the sum of its proper divisors (592585450560).

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

180980490240 is an equidigital number, since it uses as much as digits as its factorization.

180980490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 180980490240 in words is "one hundred eighty billion, nine hundred eighty million, four hundred ninety thousand, two hundred forty".