8989668864 has 360 divisors, whose sum is σ = 29800186416. Its totient is φ = 2601984000.

The previous prime is 8989668859. The next prime is 8989668869. The reversal of 8989668864 is 4688669898.

It is an interprime number because it is at equal distance from previous prime (8989668859) and next prime (8989668869).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 8989668792 and 8989668801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8989668869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12823714 + ... + 12824414.

Almost surely, 2^8989668864 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 8989668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900093208).

8989668864 is an abundant number, since it is smaller than the sum of its proper divisors (20810517552).

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

8989668864 is a wasteful number, since it uses less digits than its factorization.

8989668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 740 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The square root of 8989668864 is about 94813.8643026430. The cubic root of 8989668864 is about 2079.2876061337.

The spelling of 8989668864 in words is "eight billion, nine hundred eighty-nine million, six hundred sixty-eight thousand, eight hundred sixty-four".