868684227264 has 756 divisors, whose sum is σ = 3095943378840. Its totient is φ = 232150302720.

The previous prime is 868684227221. The next prime is 868684227277. The reversal of 868684227264 is 462722486868.

868684227264 is a `hidden beast` number, since 8 + 6 + 86 + 8 + 422 + 72 + 64 = 666.

It is a super-2 number, since 2×868684227264² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2292042627 + ... + 2292043005.

Almost surely, 2^868684227264 is an apocalyptic number.

868684227264 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 868684227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547971689420).

868684227264 is an abundant number, since it is smaller than the sum of its proper divisors (2227259151576).

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

868684227264 is a wasteful number, since it uses less digits than its factorization.

868684227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 689 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 63.

The spelling of 868684227264 in words is "eight hundred sixty-eight billion, six hundred eighty-four million, two hundred twenty-seven thousand, two hundred sixty-four".