8259315264 has 168 divisors, whose sum is σ = 24523769088. Its totient is φ = 2655959040.

The previous prime is 8259315247. The next prime is 8259315277. The reversal of 8259315264 is 4625139528.

8259315264 is a `hidden beast` number, since 8 + 2 + 593 + 1 + 52 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1919964 + ... + 1924260.

It is an arithmetic number, because the mean of its divisors is an integer number (145974816).

Almost surely, 2^8259315264 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 8259315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261884544).

8259315264 is an abundant number, since it is smaller than the sum of its proper divisors (16264453824).

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

8259315264 is a wasteful number, since it uses less digits than its factorization.

8259315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4420 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 8259315264 is about 90880.7749966955. The cubic root of 8259315264 is about 2021.3802337024.

The spelling of 8259315264 in words is "eight billion, two hundred fifty-nine million, three hundred fifteen thousand, two hundred sixty-four".