180645781680 has 1440 divisors, whose sum is σ = 817517675520. Its totient is φ = 34712064000.

The previous prime is 180645781663. The next prime is 180645781681. The reversal of 180645781680 is 86187546081.

It is a happy number.

180645781680 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 4 + 578 + 1 + 68 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (180645781681) 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 287 ways as a sum of consecutive naturals, for example, 1196329605 + ... + 1196329755.

It is an arithmetic number, because the mean of its divisors is an integer number (567720608).

Almost surely, 2^180645781680 is an apocalyptic number.

180645781680 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 180645781680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408758837760).

180645781680 is an abundant number, since it is smaller than the sum of its proper divisors (636871893840).

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

180645781680 is a wasteful number, since it uses less digits than its factorization.

180645781680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 180645781680 in words is "one hundred eighty billion, six hundred forty-five million, seven hundred eighty-one thousand, six hundred eighty".