8838408768 has 112 divisors (see below), whose sum is σ = 27064289280. Its totient is φ = 2493264384.

The previous prime is 8838408763. The next prime is 8838408773. The reversal of 8838408768 is 8678048388.

It is an interprime number because it is at equal distance from previous prime (8838408763) and next prime (8838408773).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (8838408763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64555 + ... + 147797.

It is an arithmetic number, because the mean of its divisors is an integer number (241645440).

Almost surely, 2^8838408768 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 8838408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13532144640).

8838408768 is an abundant number, since it is smaller than the sum of its proper divisors (18225880512).

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

8838408768 is a wasteful number, since it uses less digits than its factorization.

8838408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83344 (or 83334 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 60.

The square root of 8838408768 is about 94012.8117226583. The cubic root of 8838408768 is about 2067.5595538719.

The spelling of 8838408768 in words is "eight billion, eight hundred thirty-eight million, four hundred eight thousand, seven hundred sixty-eight".