8268240456 has 64 divisors (see below), whose sum is σ = 26248387200. Its totient is φ = 2362353984.

The previous prime is 8268240443. The next prime is 8268240457. The reversal of 8268240456 is 6540428628.

8268240456 is a `hidden beast` number, since 82 + 6 + 82 + 40 + 456 = 666.

It is a super-3 number, since 3×8268240456³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8268240457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2732695 + ... + 2735718.

It is an arithmetic number, because the mean of its divisors is an integer number (410131050).

Almost surely, 2^8268240456 is an apocalyptic number.

It is an amenable number.

8268240456 is an abundant number, since it is smaller than the sum of its proper divisors (17980146744).

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

8268240456 is a wasteful number, since it uses less digits than its factorization.

8268240456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468435 (or 5468425 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8268240456 is about 90929.8655888152. The cubic root of 8268240456 is about 2022.1080870995.

The spelling of 8268240456 in words is "eight billion, two hundred sixty-eight million, two hundred forty thousand, four hundred fifty-six".