180064435600 has 225 divisors, whose sum is σ = 505843802403. Its totient is φ = 61593799680.

The previous prime is 180064435571. The next prime is 180064435609. The reversal of 180064435600 is 6534460081.

It is a happy number.

The square root of 180064435600 is 424340.

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 55042790544 + 125021645056 = 234612^2 + 353584^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 180064435600.

It is not an unprimeable number, because it can be changed into a prime (180064435609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 415852984 + ... + 415853416.

Almost surely, 2^180064435600 is an apocalyptic number.

180064435600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180064435600 is the 424340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180064435600

180064435600 is an abundant number, since it is smaller than the sum of its proper divisors (325779366803).

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

180064435600 is an frugal number, since it uses more digits than its factorization.

180064435600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 180064435600 its reverse (6534460081), we get a palindrome (186598895681).

The spelling of 180064435600 in words is "one hundred eighty billion, sixty-four million, four hundred thirty-five thousand, six hundred".