8838643968 has 288 divisors, whose sum is σ = 32588881920. Its totient is φ = 2295613440.

The previous prime is 8838643967. The next prime is 8838643973. The reversal of 8838643968 is 8693468388.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8838643967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523921 + ... + 540527.

It is an arithmetic number, because the mean of its divisors is an integer number (113155840).

Almost surely, 2^8838643968 is an apocalyptic number.

8838643968 is a gapful number since it is divisible by the number (88) 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 8838643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16294440960).

8838643968 is an abundant number, since it is smaller than the sum of its proper divisors (23750237952).

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

8838643968 is a wasteful number, since it uses less digits than its factorization.

8838643968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16650 (or 16630 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The square root of 8838643968 is about 94014.0626076759. The cubic root of 8838643968 is about 2067.5778937378.

The spelling of 8838643968 in words is "eight billion, eight hundred thirty-eight million, six hundred forty-three thousand, nine hundred sixty-eight".