6564129407 has 16 divisors (see below), whose sum is σ = 7259997600. Its totient is φ = 5885130240.

The previous prime is 6564129391. The next prime is 6564129457. The reversal of 6564129407 is 7049214656.

It is not a de Polignac number, because 6564129407 - 2⁴ = 6564129391 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6564129457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380219 + ... + 397107.

It is an arithmetic number, because the mean of its divisors is an integer number (453749850).

Almost surely, 2^6564129407 is an apocalyptic number.

6564129407 is a deficient number, since it is larger than the sum of its proper divisors (695868193).

6564129407 is a wasteful number, since it uses less digits than its factorization.

6564129407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17386.

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 6564129407 is about 81019.3150242583. The cubic root of 6564129407 is about 1872.3730353610.

The spelling of 6564129407 in words is "six billion, five hundred sixty-four million, one hundred twenty-nine thousand, four hundred seven".