66105001674 has 24 divisors (see below), whose sum is σ = 146720859012. Its totient is φ = 21497561280.

The previous prime is 66105001673. The next prime is 66105001691. The reversal of 66105001674 is 47610050166.

66105001674 is a `hidden beast` number, since 66 + 10 + 500 + 16 + 74 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44518046049 + 21586955625 = 210993^2 + 146925^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66105001673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44785849 + ... + 44787324.

Almost surely, 2^66105001674 is an apocalyptic number.

66105001674 is an abundant number, since it is smaller than the sum of its proper divisors (80615857338).

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

66105001674 is a wasteful number, since it uses less digits than its factorization.

66105001674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89573222 (or 89573219 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 66105001674 in words is "sixty-six billion, one hundred five million, one thousand, six hundred seventy-four".