180471030768 has 240 divisors, whose sum is σ = 606919934400. Its totient is φ = 48968478720.

The previous prime is 180471030767. The next prime is 180471030809. The reversal of 180471030768 is 867030174081.

180471030768 is a `hidden beast` number, since 1 + 80 + 471 + 0 + 30 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180471030767) 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 47 ways as a sum of consecutive naturals, for example, 1732548 + ... + 1833756.

It is an arithmetic number, because the mean of its divisors is an integer number (2528833060).

Almost surely, 2^180471030768 is an apocalyptic number.

180471030768 is a gapful number since it is divisible by the number (18) 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 180471030768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303459967200).

180471030768 is an abundant number, since it is smaller than the sum of its proper divisors (426448903632).

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

180471030768 is a wasteful number, since it uses less digits than its factorization.

180471030768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101320 (or 101311 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 180471030768 in words is "one hundred eighty billion, four hundred seventy-one million, thirty thousand, seven hundred sixty-eight".