66187041408 has 224 divisors, whose sum is σ = 198167479860. Its totient is φ = 22009688064.

The previous prime is 66187041391. The next prime is 66187041457. The reversal of 66187041408 is 80414078166.

66187041408 is a `hidden beast` number, since 66 + 187 + 0 + 4 + 1 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63105459264 + 3081582144 = 251208^2 + 55512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 70636716 + ... + 70637652.

Almost surely, 2^66187041408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66187041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99083739930).

66187041408 is an abundant number, since it is smaller than the sum of its proper divisors (131980438452).

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

66187041408 is an frugal number, since it uses more digits than its factorization.

66187041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 66187041408 in words is "sixty-six billion, one hundred eighty-seven million, forty-one thousand, four hundred eight".