6400090905 has 16 divisors (see below), whose sum is σ = 11027849280. Its totient is φ = 3150813888.

The previous prime is 6400090877. The next prime is 6400090933. The reversal of 6400090905 is 5090900046.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6400090877) and next prime (6400090933).

It is not a de Polignac number, because 6400090905 - 2¹² = 6400086809 is a prime.

It is a super-2 number, since 2×6400090905² = 81922327184527438050, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16410295 + ... + 16410684.

It is an arithmetic number, because the mean of its divisors is an integer number (689240580).

Almost surely, 2^6400090905 is an apocalyptic number.

6400090905 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6400090905 is a deficient number, since it is larger than the sum of its proper divisors (4627758375).

6400090905 is a wasteful number, since it uses less digits than its factorization.

6400090905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32821000.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 6400090905 is about 80000.5681542325. The cubic root of 6400090905 is about 1856.6443238958.

The spelling of 6400090905 in words is "six billion, four hundred million, ninety thousand, nine hundred five".