6400000001 has 16 divisors (see below), whose sum is σ = 6860418768. Its totient is φ = 5960448000.

The previous prime is 6399999959. The next prime is 6400000007. The reversal of 6400000001 is 1000000046.

It is a Cunningham number, because it is equal to 80000²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 673143025 + 5726856976 = 25945^2 + 75676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6400000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6400000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40601 + ... + 120201.

It is an arithmetic number, because the mean of its divisors is an integer number (428776173).

Almost surely, 2^6400000001 is an apocalyptic number.

It is an amenable number.

6400000001 is a deficient number, since it is larger than the sum of its proper divisors (460418767).

6400000001 is a wasteful number, since it uses less digits than its factorization.

6400000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79732.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 6400000001 is about 80000.0000062500. Note that the first 5 decimals coincide. The cubic root of 6400000001 is about 1856.6355335418.

Adding to 6400000001 its reverse (1000000046), we get a palindrome (7400000047).

The spelling of 6400000001 in words is "six billion, four hundred million, one", and thus it is an aban number.