180534768480 has 864 divisors, whose sum is σ = 744119550720. Its totient is φ = 39643084800.

The previous prime is 180534768451. The next prime is 180534768487. The reversal of 180534768480 is 84867435081.

180534768480 is a `hidden beast` number, since 1 + 8 + 0 + 534 + 7 + 68 + 48 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180534768487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76141695 + ... + 76144065.

It is an arithmetic number, because the mean of its divisors is an integer number (861249480).

Almost surely, 2^180534768480 is an apocalyptic number.

180534768480 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 180534768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372059775360).

180534768480 is an abundant number, since it is smaller than the sum of its proper divisors (563584782240).

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

180534768480 is a wasteful number, since it uses less digits than its factorization.

180534768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 180534768480 in words is "one hundred eighty billion, five hundred thirty-four million, seven hundred sixty-eight thousand, four hundred eighty".