8233864320 has 768 divisors, whose sum is σ = 32466355200. Its totient is φ = 1754726400.

The previous prime is 8233864307. The next prime is 8233864361. The reversal of 8233864320 is 234683328.

8233864320 = T₄₇₇ + T₄₇₈ + ... + T₃₆₇₁.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115969885 + ... + 115969955.

It is an arithmetic number, because the mean of its divisors is an integer number (42273900).

Almost surely, 2^8233864320 is an apocalyptic number.

8233864320 is a gapful number since it is divisible by the number (80) 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 8233864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233177600).

8233864320 is an abundant number, since it is smaller than the sum of its proper divisors (24232490880).

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

8233864320 is a wasteful number, since it uses less digits than its factorization.

8233864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 8233864320 is about 90740.6431539914. The cubic root of 8233864320 is about 2019.3018140632.

The spelling of 8233864320 in words is "eight billion, two hundred thirty-three million, eight hundred sixty-four thousand, three hundred twenty".