8324394624 has 768 divisors, whose sum is σ = 32559770880. Its totient is φ = 2054356992.

The previous prime is 8324394599. The next prime is 8324394677. The reversal of 8324394624 is 4264934238.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8324394624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48117802 + ... + 48117974.

It is an arithmetic number, because the mean of its divisors is an integer number (42395535).

Almost surely, 2^8324394624 is an apocalyptic number.

8324394624 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 8324394624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279885440).

8324394624 is an abundant number, since it is smaller than the sum of its proper divisors (24235376256).

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

8324394624 is a wasteful number, since it uses less digits than its factorization.

8324394624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 8324394624 is about 91238.1204541172. The cubic root of 8324394624 is about 2026.6755120420.

The spelling of 8324394624 in words is "eight billion, three hundred twenty-four million, three hundred ninety-four thousand, six hundred twenty-four".