8447283264 has 448 divisors, whose sum is σ = 28252928000. Its totient is φ = 2219083776.

The previous prime is 8447283239. The next prime is 8447283281. The reversal of 8447283264 is 4623827448.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 53804274 + ... + 53804430.

Almost surely, 2^8447283264 is an apocalyptic number.

8447283264 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 8447283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126464000).

8447283264 is an abundant number, since it is smaller than the sum of its proper divisors (19805644736).

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

8447283264 is a wasteful number, since it uses less digits than its factorization.

8447283264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 8447283264 is about 91909.1032705684. The cubic root of 8447283264 is about 2036.5997489479.

The spelling of 8447283264 in words is "eight billion, four hundred forty-seven million, two hundred eighty-three thousand, two hundred sixty-four".