8397681864 has 256 divisors, whose sum is σ = 26272512000. Its totient is φ = 2198845440.

The previous prime is 8397681863. The next prime is 8397681871. The reversal of 8397681864 is 4681867938.

It is a junction number, because it is equal to n+sod(n) for n = 8397681798 and 8397681807.

It is not an unprimeable number, because it can be changed into a prime (8397681863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5802789 + ... + 5804235.

It is an arithmetic number, because the mean of its divisors is an integer number (102627000).

Almost surely, 2^8397681864 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 8397681864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13136256000).

8397681864 is an abundant number, since it is smaller than the sum of its proper divisors (17874830136).

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

8397681864 is a wasteful number, since it uses less digits than its factorization.

8397681864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1584 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The square root of 8397681864 is about 91638.8665578094. The cubic root of 8397681864 is about 2032.6057007917.

The spelling of 8397681864 in words is "eight billion, three hundred ninety-seven million, six hundred eighty-one thousand, eight hundred sixty-four".