66575300409 has 20 divisors (see below), whose sum is σ = 99582770100. Its totient is φ = 44325169920.

The previous prime is 66575300353. The next prime is 66575300419. The reversal of 66575300409 is 90400357566.

66575300409 is a `hidden beast` number, since 6 + 6 + 575 + 30 + 0 + 40 + 9 = 666.

66575300409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1634423184 + 64940877225 = 40428^2 + 254835^2 .

It is not a de Polignac number, because 66575300409 - 2²⁴ = 66558523193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66575300419) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 478384 + ... + 601665.

It is an arithmetic number, because the mean of its divisors is an integer number (4979138505).

Almost surely, 2^66575300409 is an apocalyptic number.

It is an amenable number.

66575300409 is a deficient number, since it is larger than the sum of its proper divisors (33007469691).

66575300409 is a wasteful number, since it uses less digits than its factorization.

66575300409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080822 (or 1080813 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 66575300409 in words is "sixty-six billion, five hundred seventy-five million, three hundred thousand, four hundred nine".