8313689664 has 420 divisors, whose sum is σ = 29935407744. Its totient is φ = 2270467584.

The previous prime is 8313689651. The next prime is 8313689773. The reversal of 8313689664 is 4669863138.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (4478976) is a multiple of the sum of its prime divisors (1458).

It is a self number, because there is not a number n which added to its sum of digits gives 8313689664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5841657 + ... + 5843079.

Almost surely, 2^8313689664 is an apocalyptic number.

8313689664 is a gapful number since it is divisible by the number (84) 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 8313689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967703872).

8313689664 is an abundant number, since it is smaller than the sum of its proper divisors (21621718080).

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

8313689664 is a wasteful number, since it uses less digits than its factorization.

8313689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1458 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 8313689664 is about 91179.4366290997. The cubic root of 8313689664 is about 2025.8063883053.

The spelling of 8313689664 in words is "eight billion, three hundred thirteen million, six hundred eighty-nine thousand, six hundred sixty-four".