6426416313 has 40 divisors (see below), whose sum is σ = 10174300488. Its totient is φ = 4028438016.

The previous prime is 6426416291. The next prime is 6426416351. The reversal of 6426416313 is 3136146246.

6426416313 is a `hidden beast` number, since 6 + 4 + 2 + 641 + 6 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1304437689 + 5121978624 = 36117^2 + 71568^2 .

It is not a de Polignac number, because 6426416313 - 2¹⁸ = 6426154169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6426416363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2384995 + ... + 2387687.

Almost surely, 2^6426416313 is an apocalyptic number.

It is an amenable number.

6426416313 is a deficient number, since it is larger than the sum of its proper divisors (3747884175).

6426416313 is a wasteful number, since it uses less digits than its factorization.

6426416313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4446 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 6426416313 is about 80164.9319403441. The cubic root of 6426416313 is about 1859.1864782630.

The spelling of 6426416313 in words is "six billion, four hundred twenty-six million, four hundred sixteen thousand, three hundred thirteen".