8694648864 has 336 divisors, whose sum is σ = 28927390464. Its totient is φ = 2547417600.

The previous prime is 8694648841. The next prime is 8694648869. The reversal of 8694648864 is 4688464968.

8694648864 is a `hidden beast` number, since 8 + 6 + 94 + 6 + 488 + 64 = 666.

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 (8694648869) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7954302 + ... + 7955394.

It is an arithmetic number, because the mean of its divisors is an integer number (86093424).

Almost surely, 2^8694648864 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 8694648864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463695232).

8694648864 is an abundant number, since it is smaller than the sum of its proper divisors (20232741600).

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

8694648864 is a wasteful number, since it uses less digits than its factorization.

8694648864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1140 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The square root of 8694648864 is about 93245.1010187667. The cubic root of 8694648864 is about 2056.2883540313.

The spelling of 8694648864 in words is "eight billion, six hundred ninety-four million, six hundred forty-eight thousand, eight hundred sixty-four".