8298411264 has 432 divisors, whose sum is σ = 28525573440. Its totient is φ = 2287042560.

The previous prime is 8298411259. The next prime is 8298411283. The reversal of 8298411264 is 4621148928.

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

It is a congruent number.

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, 29322867 + ... + 29323149.

It is an arithmetic number, because the mean of its divisors is an integer number (66031420).

Almost surely, 2^8298411264 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 8298411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14262786720).

8298411264 is an abundant number, since it is smaller than the sum of its proper divisors (20227162176).

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

8298411264 is a wasteful number, since it uses less digits than its factorization.

8298411264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 8298411264 is about 91095.6160525851. The cubic root of 8298411264 is about 2024.5646588619.

The spelling of 8298411264 in words is "eight billion, two hundred ninety-eight million, four hundred eleven thousand, two hundred sixty-four".