4413765672 has 48 divisors (see below), whose sum is σ = 11958317280. Its totient is φ = 1470717600.

The previous prime is 4413765589. The next prime is 4413765701. The reversal of 4413765672 is 2765673144.

4413765672 is a `hidden beast` number, since 4 + 4 + 13 + 76 + 567 + 2 = 666.

It is a super-3 number, since 3×4413765672³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220147 + ... + 239357.

It is an arithmetic number, because the mean of its divisors is an integer number (249131610).

Almost surely, 2^4413765672 is an apocalyptic number.

It is an amenable number.

4413765672 is an abundant number, since it is smaller than the sum of its proper divisors (7544551608).

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

4413765672 is a wasteful number, since it uses less digits than its factorization.

4413765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22414 (or 22407 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 4413765672 is about 66436.1774336844. The cubic root of 4413765672 is about 1640.3496270252.

The spelling of 4413765672 in words is "four billion, four hundred thirteen million, seven hundred sixty-five thousand, six hundred seventy-two".