4438068768 has 144 divisors (see below), whose sum is σ = 14718412800. Its totient is φ = 1267991424.

The previous prime is 4438068763. The next prime is 4438068769. The reversal of 4438068768 is 8678608344.

4438068768 is a `hidden beast` number, since 443 + 80 + 68 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4438068763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76321 + ... + 121247.

It is an arithmetic number, because the mean of its divisors is an integer number (102211200).

Almost surely, 2^4438068768 is an apocalyptic number.

4438068768 is a gapful number since it is divisible by the number (48) 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 4438068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359206400).

4438068768 is an abundant number, since it is smaller than the sum of its proper divisors (10280344032).

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

4438068768 is a wasteful number, since it uses less digits than its factorization.

4438068768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44964 (or 44939 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 4438068768 is about 66618.8319321196. The cubic root of 4438068768 is about 1643.3548181394.

The spelling of 4438068768 in words is "four billion, four hundred thirty-eight million, sixty-eight thousand, seven hundred sixty-eight".