667688333004 has 144 divisors (see below), whose sum is σ = 2109093342720. Its totient is φ = 173024709120.

The previous prime is 667688333003. The next prime is 667688333017. The reversal of 667688333004 is 400333886766.

It is not an unprimeable number, because it can be changed into a prime (667688333003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922137 + ... + 1478415.

Almost surely, 2^667688333004 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 667688333004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054546671360).

667688333004 is an abundant number, since it is smaller than the sum of its proper divisors (1441405009716).

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

667688333004 is a wasteful number, since it uses less digits than its factorization.

667688333004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556740 (or 556735 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 667688333004 in words is "six hundred sixty-seven billion, six hundred eighty-eight million, three hundred thirty-three thousand, four".