3668535186666 has 128 divisors (see below), whose sum is σ = 8649363340800. Its totient is φ = 1036770932736.

The previous prime is 3668535186637. The next prime is 3668535186671. The reversal of 3668535186666 is 6666815358663.

It is a super-3 number, since 3×3668535186666³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3668535186666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465723520 + ... + 465731396.

It is an arithmetic number, because the mean of its divisors is an integer number (67573151100).

Almost surely, 2^{3668535186666} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3668535186666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324681670400).

3668535186666 is an abundant number, since it is smaller than the sum of its proper divisors (4980828154134).

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

3668535186666 is a wasteful number, since it uses less digits than its factorization.

3668535186666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10333 (or 10319 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 69.

The spelling of 3668535186666 in words is "three trillion, six hundred sixty-eight billion, five hundred thirty-five million, one hundred eighty-six thousand, six hundred sixty-six".