4432668672 has 288 divisors, whose sum is σ = 13274876160. Its totient is φ = 1309409280.

The previous prime is 4432668661. The next prime is 4432668673. The reversal of 4432668672 is 2768662344.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4432668673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119801838 + ... + 119801874.

It is an arithmetic number, because the mean of its divisors is an integer number (46093320).

Almost surely, 2^4432668672 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 4432668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637438080).

4432668672 is an abundant number, since it is smaller than the sum of its proper divisors (8842207488).

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

4432668672 is a wasteful number, since it uses less digits than its factorization.

4432668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 90 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 4432668672 is about 66578.2897947972. The cubic root of 4432668672 is about 1642.6880209364.

The spelling of 4432668672 in words is "four billion, four hundred thirty-two million, six hundred sixty-eight thousand, six hundred seventy-two".