4442759672 has 128 divisors (see below), whose sum is σ = 9716112000. Its totient is φ = 1888296960.

The previous prime is 4442759669. The next prime is 4442759687. The reversal of 4442759672 is 2769572444.

It is a super-2 number, since 2×4442759672² = 39476227006299095168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4442759672.

It is a congruent number.

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, 8728154 + ... + 8728662.

It is an arithmetic number, because the mean of its divisors is an integer number (75907125).

Almost surely, 2^4442759672 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 4442759672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858056000).

4442759672 is an abundant number, since it is smaller than the sum of its proper divisors (5273352328).

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

4442759672 is a wasteful number, since it uses less digits than its factorization.

4442759672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 50.

The square root of 4442759672 is about 66654.0296756318. The cubic root of 4442759672 is about 1643.9336063233.

The spelling of 4442759672 in words is "four billion, four hundred forty-two million, seven hundred fifty-nine thousand, six hundred seventy-two".