667334811314688 has 640 divisors, whose sum is σ = 2120478902378496. Its totient is φ = 184125987225600.

The previous prime is 667334811314653. The next prime is 667334811314701. The reversal of 667334811314688 is 886413118433766.

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 63 ways as a sum of consecutive naturals, for example, 30870822856 + ... + 30870844472.

Almost surely, 2^{667334811314688} is an apocalyptic number.

667334811314688 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667334811314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060239451189248).

667334811314688 is an abundant number, since it is smaller than the sum of its proper divisors (1453144091063808).

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

667334811314688 is a wasteful number, since it uses less digits than its factorization.

667334811314688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25164 (or 25148 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 69.

The spelling of 667334811314688 in words is "six hundred sixty-seven trillion, three hundred thirty-four billion, eight hundred eleven million, three hundred fourteen thousand, six hundred eighty-eight".