66729561795 has 48 divisors (see below), whose sum is σ = 124843511520. Its totient is φ = 32777192448.

The previous prime is 66729561791. The next prime is 66729561853. The reversal of 66729561795 is 59716592766.

66729561795 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 9 + 5 + 617 + 9 + 5 = 666.

66729561795 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66729561795 - 2² = 66729561791 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66729561791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130411 + ... + 387899.

It is an arithmetic number, because the mean of its divisors is an integer number (2600906490).

Almost surely, 2^66729561795 is an apocalyptic number.

66729561795 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66729561795 is a deficient number, since it is larger than the sum of its proper divisors (58113949725).

66729561795 is a wasteful number, since it uses less digits than its factorization.

66729561795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257956 (or 257953 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 63.

The spelling of 66729561795 in words is "sixty-six billion, seven hundred twenty-nine million, five hundred sixty-one thousand, seven hundred ninety-five".