180744019600 has 135 divisors (see below), whose sum is σ = 450341929713. Its totient is φ = 69709355520.

The previous prime is 180744019553. The next prime is 180744019619. The reversal of 180744019600 is 6910447081.

The square root of 180744019600 is 425140.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12434034064 + 168309985536 = 111508^2 + 410256^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 246580834 + ... + 246581566.

Almost surely, 2^180744019600 is an apocalyptic number.

180744019600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180744019600 is the 425140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180744019600

180744019600 is an abundant number, since it is smaller than the sum of its proper divisors (269597910113).

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

180744019600 is an frugal number, since it uses more digits than its factorization.

180744019600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 180744019600 in words is "one hundred eighty billion, seven hundred forty-four million, nineteen thousand, six hundred".