668295585592866 has 192 divisors, whose sum is σ = 1832278604921856. Its totient is φ = 170986096195200.

The previous prime is 668295585592753. The next prime is 668295585592913.

668295585592866 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 9 + 5 + 5 + 8 + 5 + 592 + 8 + 6 + 6 = 666.

668295585592866 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2805334776 + ... + 2805572988.

It is an arithmetic number, because the mean of its divisors is an integer number (9543117733968).

Almost surely, 2^{668295585592866} is an apocalyptic number.

668295585592866 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 668295585592866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916139302460928).

668295585592866 is an abundant number, since it is smaller than the sum of its proper divisors (1163983019328990).

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

668295585592866 is a wasteful number, since it uses less digits than its factorization.

668295585592866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268517 (or 268514 counting only the distinct ones).

The product of its digits is 134369280000, while the sum is 90.

The spelling of 668295585592866 in words is "six hundred sixty-eight trillion, two hundred ninety-five billion, five hundred eighty-five million, five hundred ninety-two thousand, eight hundred sixty-six".