668136682045440 has 240 divisors, whose sum is σ = 2375524602111360. Its totient is φ = 178169781288960.

The previous prime is 668136682045411. The next prime is 668136682045513. The reversal of 668136682045440 is 44540286631866.

668136682045440 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 3 + 6 + 6 + 82 + 0 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148824556 + ... + 153248235.

It is an arithmetic number, because the mean of its divisors is an integer number (9898019175464).

Almost surely, 2^{668136682045440} is an apocalyptic number.

668136682045440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668136682045440 is an abundant number, since it is smaller than the sum of its proper divisors (1707387920065920).

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

668136682045440 is an equidigital number, since it uses as much as digits as its factorization.

668136682045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302072833 (or 302072801 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 668136682045440 in words is "six hundred sixty-eight trillion, one hundred thirty-six billion, six hundred eighty-two million, forty-five thousand, four hundred forty".