8005324496 has 120 divisors (see below), whose sum is σ = 17155832760. Its totient is φ = 3616524288.

The previous prime is 8005324493. The next prime is 8005324513. The reversal of 8005324496 is 6944235008.

It can be written as a sum of positive squares in 12 ways, for example, as 2177528896 + 5827795600 = 46664^2 + 76340^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005324493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46273466 + ... + 46273638.

It is an arithmetic number, because the mean of its divisors is an integer number (142965273).

Almost surely, 2^8005324496 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 8005324496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8577916380).

8005324496 is an abundant number, since it is smaller than the sum of its proper divisors (9150508264).

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

8005324496 is a wasteful number, since it uses less digits than its factorization.

8005324496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 8005324496 is about 89472.4789865576. The cubic root of 8005324496 is about 2000.4436095980.

The spelling of 8005324496 in words is "eight billion, five million, three hundred twenty-four thousand, four hundred ninety-six".