66820874133 has 16 divisors (see below), whose sum is σ = 96219748800. Its totient is φ = 41004040704.

The previous prime is 66820874123. The next prime is 66820874143. The reversal of 66820874133 is 33147802866.

It is an interprime number because it is at equal distance from previous prime (66820874123) and next prime (66820874143).

It is not a de Polignac number, because 66820874133 - 2⁸ = 66820873877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66820874123) 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 15 ways as a sum of consecutive naturals, for example, 2413083 + ... + 2440616.

It is an arithmetic number, because the mean of its divisors is an integer number (6013734300).

Almost surely, 2^66820874133 is an apocalyptic number.

It is an amenable number.

66820874133 is a deficient number, since it is larger than the sum of its proper divisors (29398874667).

66820874133 is a wasteful number, since it uses less digits than its factorization.

66820874133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854068.

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 66820874133 in words is "sixty-six billion, eight hundred twenty million, eight hundred seventy-four thousand, one hundred thirty-three".