6005406006 has 24 divisors (see below), whose sum is σ = 13013232024. Its totient is φ = 2001568320.

The previous prime is 6005405969. The next prime is 6005406023. The reversal of 6005406006 is 6006045006.

6005406006 is a `hidden beast` number, since 6 + 0 + 0 + 54 + 0 + 600 + 6 = 666.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 215865 + ... + 242091.

It is an arithmetic number, because the mean of its divisors is an integer number (542218001).

Almost surely, 2^6005406006 is an apocalyptic number.

6005406006 is an abundant number, since it is smaller than the sum of its proper divisors (7007826018).

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

6005406006 is a wasteful number, since it uses less digits than its factorization.

6005406006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38956 (or 38953 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6005406006 is about 77494.5546861197. The cubic root of 6005406006 is about 1817.6661714997. Note that the first 3 decimals are identical.

The spelling of 6005406006 in words is "six billion, five million, four hundred six thousand, six".