180047462400 has 1215 divisors, whose sum is σ = 741875779281. Its totient is φ = 41712353280.

The previous prime is 180047462393. The next prime is 180047462411. The reversal of 180047462400 is 4264740081.

The square root of 180047462400 is 424320.

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

180047462400 is a `hidden beast` number, since 180 + 0 + 4 + 74 + 6 + 2 + 400 = 666.

180047462400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 131125100544 + 48922361856 = 362112^2 + 221184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10591027192 + ... + 10591027208.

Almost surely, 2^180047462400 is an apocalyptic number.

180047462400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180047462400 is the 424320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180047462400

180047462400 is an abundant number, since it is smaller than the sum of its proper divisors (561828316881).

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

180047462400 is a wasteful number, since it uses less digits than its factorization.

180047462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 180047462400 by its sum of digits (36), we get a square (6481708646400 = 2545920²).

180047462400 divided by its sum of digits (36) gives a square (5001318400 = 70720²).

The spelling of 180047462400 in words is "one hundred eighty billion, forty-seven million, four hundred sixty-two thousand, four hundred".