8393657664 has 168 divisors, whose sum is σ = 27194316960. Its totient is φ = 2271919104.

The previous prime is 8393657627. The next prime is 8393657669. The reversal of 8393657664 is 4667563938.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8393657669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155274 + ... + 202230.

Almost surely, 2^8393657664 is an apocalyptic number.

8393657664 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 8393657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13597158480).

8393657664 is an abundant number, since it is smaller than the sum of its proper divisors (18800659296).

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

8393657664 is a wasteful number, since it uses less digits than its factorization.

8393657664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47005 (or 46988 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 57.

The square root of 8393657664 is about 91616.9070859740. The cubic root of 8393657664 is about 2032.2809715427.

The spelling of 8393657664 in words is "eight billion, three hundred ninety-three million, six hundred fifty-seven thousand, six hundred sixty-four".