6413433264 has 240 divisors, whose sum is σ = 21318635520. Its totient is φ = 1761246720.

The previous prime is 6413433253. The next prime is 6413433283. The reversal of 6413433264 is 4623343146.

6413433264 is a `hidden beast` number, since 641 + 3 + 4 + 3 + 3 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×6413433264² = 82264252463563387392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5217802 + ... + 5219030.

It is an arithmetic number, because the mean of its divisors is an integer number (88827648).

Almost surely, 2^6413433264 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 6413433264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659317760).

6413433264 is an abundant number, since it is smaller than the sum of its proper divisors (14905202256).

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

6413433264 is a wasteful number, since it uses less digits than its factorization.

6413433264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1439 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 6413433264 is about 80083.9138903688. The cubic root of 6413433264 is about 1857.9336191675.

The spelling of 6413433264 in words is "six billion, four hundred thirteen million, four hundred thirty-three thousand, two hundred sixty-four".