8384566464 has 336 divisors, whose sum is σ = 27045757440. Its totient is φ = 2469519360.

The previous prime is 8384566453. The next prime is 8384566493. The reversal of 8384566464 is 4646654838.

8384566464 is a `hidden beast` number, since 8 + 38 + 4 + 566 + 46 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8384566464.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13287429 + ... + 13288059.

Almost surely, 2^8384566464 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 8384566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522878720).

8384566464 is an abundant number, since it is smaller than the sum of its proper divisors (18661190976).

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

8384566464 is a wasteful number, since it uses less digits than its factorization.

8384566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 735 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The square root of 8384566464 is about 91567.2783476718. The cubic root of 8384566464 is about 2031.5469829387.

The spelling of 8384566464 in words is "eight billion, three hundred eighty-four million, five hundred sixty-six thousand, four hundred sixty-four".