180682804624 has 405 divisors, whose sum is σ = 466478315073. Its totient is φ = 67575610368.

The previous prime is 180682804619. The next prime is 180682804633. The reversal of 180682804624 is 426408286081.

The square root of 180682804624 is 425068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 140670003600 + 40012801024 = 375060^2 + 200032^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3844314969 + ... + 3844315015.

Almost surely, 2^180682804624 is an apocalyptic number.

180682804624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

180682804624 is the 425068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180682804624

180682804624 is an abundant number, since it is smaller than the sum of its proper divisors (285795510449).

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

180682804624 is a wasteful number, since it uses less digits than its factorization.

180682804624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

Multiplying 180682804624 by its sum of digits (49), we get a square (8853457426576 = 2975476²).

180682804624 divided by its sum of digits (49) gives a square (3687404176 = 60724²).

The spelling of 180682804624 in words is "one hundred eighty billion, six hundred eighty-two million, eight hundred four thousand, six hundred twenty-four".