180468158712480 has 768 divisors, whose sum is σ = 652072280832000. Its totient is φ = 46582023241728.

The previous prime is 180468158712469. The next prime is 180468158712547. The reversal of 180468158712480 is 84217851864081.

180468158712480 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 6 + 8 + 1 + 587 + 1 + 2 + 48 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31834211086 + ... + 31834216754.

It is an arithmetic number, because the mean of its divisors is an integer number (849052449000).

Almost surely, 2^{180468158712480} is an apocalyptic number.

180468158712480 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 180468158712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326036140416000).

180468158712480 is an abundant number, since it is smaller than the sum of its proper divisors (471604122119520).

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

180468158712480 is a wasteful number, since it uses less digits than its factorization.

180468158712480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 63.

The spelling of 180468158712480 in words is "one hundred eighty trillion, four hundred sixty-eight billion, one hundred fifty-eight million, seven hundred twelve thousand, four hundred eighty".