6005408049 has 12 divisors (see below), whose sum is σ = 9184741956. Its totient is φ = 3768099072.

The previous prime is 6005408027. The next prime is 6005408051. The reversal of 6005408049 is 9408045006.

6005408049 is a `hidden beast` number, since 600 + 5 + 4 + 0 + 8 + 0 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3069935649 + 2935472400 = 55407^2 + 54180^2 .

It is not a de Polignac number, because 6005408049 - 2⁹ = 6005407537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6005401049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19625364 + ... + 19625669.

It is an arithmetic number, because the mean of its divisors is an integer number (765395163).

Almost surely, 2^6005408049 is an apocalyptic number.

It is an amenable number.

6005408049 is a deficient number, since it is larger than the sum of its proper divisors (3179333907).

6005408049 is a wasteful number, since it uses less digits than its factorization.

6005408049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39251056 (or 39251053 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6005408049 is about 77494.5678676899. The cubic root of 6005408049 is about 1817.6663776191. Note that the first 3 decimals are identical.

The spelling of 6005408049 in words is "six billion, five million, four hundred eight thousand, forty-nine".