66653966935666 has 128 divisors (see below), whose sum is σ = 117370632960000. Its totient is φ = 28098148108800.

The previous prime is 66653966935649. The next prime is 66653966935681.

66653966935666 is nontrivially palindromic in base 10.

66653966935666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (82).

It is a self number, because there is not a number n which added to its sum of digits gives 66653966935666.

It is an unprimeable number.

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, 3678668955 + ... + 3678687073.

It is an arithmetic number, because the mean of its divisors is an integer number (916958070000).

Almost surely, 2^{66653966935666} is an apocalyptic number.

66653966935666 is a deficient number, since it is larger than the sum of its proper divisors (50716666024334).

66653966935666 is a wasteful number, since it uses less digits than its factorization.

66653966935666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20368.

The product of its digits is 30611001600, while the sum is 82.

The spelling of 66653966935666 in words is "sixty-six trillion, six hundred fifty-three billion, nine hundred sixty-six million, nine hundred thirty-five thousand, six hundred sixty-six".