6006505064 has 24 divisors (see below), whose sum is σ = 13100923890. Its totient is φ = 2574216288.

The previous prime is 6006505061. The next prime is 6006505079. The reversal of 6006505064 is 4605056006.

It can be written as a sum of positive squares in only one way, i.e., 3318912100 + 2687592964 = 57610^2 + 51842^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6006505064.

It is not an unprimeable number, because it can be changed into a prime (6006505061) 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 5 ways as a sum of consecutive naturals, for example, 7660967 + ... + 7661750.

Almost surely, 2^6006505064 is an apocalyptic number.

It is an amenable number.

6006505064 is an abundant number, since it is smaller than the sum of its proper divisors (7094418826).

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

6006505064 is a wasteful number, since it uses less digits than its factorization.

6006505064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15322737 (or 15322726 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 6006505064 is about 77501.6455567235. The cubic root of 6006505064 is about 1817.7770493038. Note that the first 3 decimals are identical.

The spelling of 6006505064 in words is "six billion, six million, five hundred five thousand, sixty-four".