66075311577627 has 72 divisors (see below), whose sum is σ = 107148778551360. Its totient is φ = 39190223001600.

The previous prime is 66075311577571. The next prime is 66075311577631. The reversal of 66075311577627 is 72677511357066.

66075311577627 is a `hidden beast` number, since 6 + 6 + 0 + 7 + 5 + 31 + 1 + 577 + 6 + 27 = 666.

It is not a de Polignac number, because 66075311577627 - 2¹¹ = 66075311575579 is a prime.

It is a super-2 number, since 2×66075311577627² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66075311577637) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 671522949 + ... + 671621337.

It is an arithmetic number, because the mean of its divisors is an integer number (1488177479880).

Almost surely, 2^{66075311577627} is an apocalyptic number.

66075311577627 is a deficient number, since it is larger than the sum of its proper divisors (41073466973733).

66075311577627 is a wasteful number, since it uses less digits than its factorization.

66075311577627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111585 (or 111571 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 66075311577627 in words is "sixty-six trillion, seventy-five billion, three hundred eleven million, five hundred seventy-seven thousand, six hundred twenty-seven".