66755563622667 has 64 divisors (see below), whose sum is σ = 101317432043520. Its totient is φ = 43417064275200.

The previous prime is 66755563622647. The next prime is 66755563622689. The reversal of 66755563622667 is 76622636555766.

66755563622667 is a `hidden beast` number, since 6 + 6 + 7 + 5 + 556 + 3 + 6 + 2 + 2 + 6 + 67 = 666.

66755563622667 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 66755563622667 - 2⁶ = 66755563622603 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66755563622595 and 66755563622604.

It is not an unprimeable number, because it can be changed into a prime (66755563622647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4654867917 + ... + 4654882257.

It is an arithmetic number, because the mean of its divisors is an integer number (1583084875680).

Almost surely, 2^{66755563622667} is an apocalyptic number.

66755563622667 is a deficient number, since it is larger than the sum of its proper divisors (34561868420853).

66755563622667 is a wasteful number, since it uses less digits than its factorization.

66755563622667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18881 (or 18875 counting only the distinct ones).

The product of its digits is 3429216000, while the sum is 72.

The spelling of 66755563622667 in words is "sixty-six trillion, seven hundred fifty-five billion, five hundred sixty-three million, six hundred twenty-two thousand, six hundred sixty-seven".