180772772544 has 630 divisors, whose sum is σ = 675154861524. Its totient is φ = 47665013760.

The previous prime is 180772772429. The next prime is 180772772563. The reversal of 180772772544 is 445277277081.

It is a happy number.

180772772544 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 7 + 27 + 72 + 544 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 42926599 + ... + 42930809.

Almost surely, 2^180772772544 is an apocalyptic number.

180772772544 is a gapful number since it is divisible by the number (14) 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 180772772544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337577430762).

180772772544 is an abundant number, since it is smaller than the sum of its proper divisors (494382088980).

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

180772772544 is a wasteful number, since it uses less digits than its factorization.

180772772544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 6146560, while the sum is 54.

The spelling of 180772772544 in words is "one hundred eighty billion, seven hundred seventy-two million, seven hundred seventy-two thousand, five hundred forty-four".