6129912564 has 36 divisors (see below), whose sum is σ = 16406532324. Its totient is φ = 1923109632.

The previous prime is 6129912559. The next prime is 6129912571. The reversal of 6129912564 is 4652199216.

6129912564 is a `hidden beast` number, since 61 + 29 + 9 + 1 + 2 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3815532900 + 2314379664 = 61770^2 + 48108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 5007487 + ... + 5008710.

It is an arithmetic number, because the mean of its divisors is an integer number (455737009).

Almost surely, 2^6129912564 is an apocalyptic number.

It is an amenable number.

6129912564 is an abundant number, since it is smaller than the sum of its proper divisors (10276619760).

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

6129912564 is a wasteful number, since it uses less digits than its factorization.

6129912564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016224 (or 10016219 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 6129912564 is about 78293.7581420128. The cubic root of 6129912564 is about 1830.1418827555.

The spelling of 6129912564 in words is "six billion, one hundred twenty-nine million, nine hundred twelve thousand, five hundred sixty-four".