180268176400 has 405 divisors, whose sum is σ = 497250698007. Its totient is φ = 62769907200.

The previous prime is 180268176379. The next prime is 180268176563. The reversal of 180268176400 is 4671862081.

The square root of 180268176400 is 424580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 46464389136 + 133803787264 = 215556^2 + 365792^2 .

It is a Duffinian number.

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, 2538988365 + ... + 2538988435.

Almost surely, 2^180268176400 is an apocalyptic number.

180268176400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180268176400 is the 424580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180268176400

180268176400 is an abundant number, since it is smaller than the sum of its proper divisors (316982521607).

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

180268176400 is a wasteful number, since it uses less digits than its factorization.

180268176400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 180268176400 in words is "one hundred eighty billion, two hundred sixty-eight million, one hundred seventy-six thousand, four hundred".