8313224640 has 224 divisors, whose sum is σ = 30808111104. Its totient is φ = 1859665920.

The previous prime is 8313224629. The next prime is 8313224669. The reversal of 8313224640 is 464223138.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302680 + ... + 329000.

Almost surely, 2^8313224640 is an apocalyptic number.

8313224640 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 8313224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404055552).

8313224640 is an abundant number, since it is smaller than the sum of its proper divisors (22494886464).

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

8313224640 is a wasteful number, since it uses less digits than its factorization.

8313224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26395 (or 26385 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 8313224640 is about 91176.8865447817. The cubic root of 8313224640 is about 2025.7686166222.

Adding to 8313224640 its reverse (464223138), we get a palindrome (8777447778).

The spelling of 8313224640 in words is "eight billion, three hundred thirteen million, two hundred twenty-four thousand, six hundred forty".