6667337400704 has 64 divisors (see below), whose sum is σ = 13583179656000. Its totient is φ = 3258856991232.

The previous prime is 6667337400701. The next prime is 6667337400707. The reversal of 6667337400704 is 4070047337666.

It is an interprime number because it is at equal distance from previous prime (6667337400701) and next prime (6667337400707).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6667337400701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1114274 + ... + 3817889.

It is an arithmetic number, because the mean of its divisors is an integer number (212237182125).

Almost surely, 2^{6667337400704} is an apocalyptic number.

6667337400704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6667337400704 is an abundant number, since it is smaller than the sum of its proper divisors (6915842255296).

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

6667337400704 is a wasteful number, since it uses less digits than its factorization.

6667337400704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932415 (or 4932403 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 53.

The spelling of 6667337400704 in words is "six trillion, six hundred sixty-seven billion, three hundred thirty-seven million, four hundred thousand, seven hundred four".