66434777743466 has 96 divisors (see below), whose sum is σ = 116240611624704. Its totient is φ = 28394178278400.

The previous prime is 66434777743441. The next prime is 66434777743471.

66434777743466 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66434777743393 and 66434777743402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576117971 + ... + 576233273.

It is an arithmetic number, because the mean of its divisors is an integer number (1210839704424).

Almost surely, 2^{66434777743466} is an apocalyptic number.

66434777743466 is a deficient number, since it is larger than the sum of its proper divisors (49805833881238).

66434777743466 is a wasteful number, since it uses less digits than its factorization.

66434777743466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117108 (or 117097 counting only the distinct ones).

The product of its digits is 7169347584, while the sum is 74.

The spelling of 66434777743466 in words is "sixty-six trillion, four hundred thirty-four billion, seven hundred seventy-seven million, seven hundred forty-three thousand, four hundred sixty-six".