180399636480 has 640 divisors, whose sum is σ = 688536288000. Its totient is φ = 39460012032.

The previous prime is 180399636467. The next prime is 180399636541. The reversal of 180399636480 is 84636993081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×180399636480² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 180399636480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596456904 + ... + 1596457016.

It is an arithmetic number, because the mean of its divisors is an integer number (1075837950).

Almost surely, 2^180399636480 is an apocalyptic number.

180399636480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180399636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344268144000).

180399636480 is an abundant number, since it is smaller than the sum of its proper divisors (508136651520).

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

180399636480 is an frugal number, since it uses more digits than its factorization.

180399636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 180399636480 in words is "one hundred eighty billion, three hundred ninety-nine million, six hundred thirty-six thousand, four hundred eighty".