66284733748266 has 96 divisors (see below), whose sum is σ = 161733030690816. Its totient is φ = 19437610500000.

The previous prime is 66284733748243. The next prime is 66284733748267.

66284733748266 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 473 + 3 + 74 + 82 + 6 + 6 = 666.

66284733748266 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66284733748194 and 66284733748203.

It is not an unprimeable number, because it can be changed into a prime (66284733748267) 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, 176285835 + ... + 176661441.

It is an arithmetic number, because the mean of its divisors is an integer number (1684719069696).

Almost surely, 2^{66284733748266} is an apocalyptic number.

66284733748266 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66284733748266 is an abundant number, since it is smaller than the sum of its proper divisors (95448296942550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66284733748266 is a wasteful number, since it uses less digits than its factorization.

66284733748266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404408 (or 404405 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 72.

The spelling of 66284733748266 in words is "sixty-six trillion, two hundred eighty-four billion, seven hundred thirty-three million, seven hundred forty-eight thousand, two hundred sixty-six".