444632507061660 has 144 divisors (see below), whose sum is σ = 1358212564800000. Its totient is φ = 117736422832512.

The previous prime is 444632507061641. The next prime is 444632507061671. The reversal of 444632507061660 is 66160705236444.

It is a happy number.

444632507061660 is a `hidden beast` number, since 4 + 4 + 4 + 63 + 2 + 507 + 0 + 6 + 16 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444632507061597 and 444632507061606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5436337 + ... + 30312023.

It is an arithmetic number, because the mean of its divisors is an integer number (9432031700000).

Almost surely, 2^{444632507061660} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444632507061660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679106282400000).

444632507061660 is an abundant number, since it is smaller than the sum of its proper divisors (913580057738340).

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

444632507061660 is a wasteful number, since it uses less digits than its factorization.

444632507061660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24876400 (or 24876395 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 444632507061660 in words is "four hundred forty-four trillion, six hundred thirty-two billion, five hundred seven million, sixty-one thousand, six hundred sixty".