8045646336 has 360 divisors, whose sum is σ = 29099754684. Its totient is φ = 2121154560.

The previous prime is 8045646317. The next prime is 8045646347. The reversal of 8045646336 is 6336465408.

8045646336 is a `hidden beast` number, since 8 + 0 + 4 + 5 + 6 + 4 + 633 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7341062400 + 704583936 = 85680^2 + 26544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8045646291 and 8045646300.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2933926 + ... + 2936666.

Almost surely, 2^8045646336 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 8045646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549877342).

8045646336 is an abundant number, since it is smaller than the sum of its proper divisors (21054108348).

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

8045646336 is a wasteful number, since it uses less digits than its factorization.

8045646336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 8045646336 is about 89697.5269224297. The cubic root of 8045646336 is about 2003.7966494990.

The spelling of 8045646336 in words is "eight billion, forty-five million, six hundred forty-six thousand, three hundred thirty-six".