8215323264 has 320 divisors, whose sum is σ = 26090000640. Its totient is φ = 2560149504.

The previous prime is 8215323257. The next prime is 8215323269. The reversal of 8215323264 is 4623235128.

It is a super-2 number, since 2×8215323264² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8215323269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11207442 + ... + 11208174.

It is an arithmetic number, because the mean of its divisors is an integer number (81531252).

Almost surely, 2^8215323264 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 8215323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045000320).

8215323264 is an abundant number, since it is smaller than the sum of its proper divisors (17874677376).

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

8215323264 is a wasteful number, since it uses less digits than its factorization.

8215323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 808 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 8215323264 is about 90638.4204628479. The cubic root of 8215323264 is about 2017.7849837195.

The spelling of 8215323264 in words is "eight billion, two hundred fifteen million, three hundred twenty-three thousand, two hundred sixty-four".