67400406667000 has 64 divisors (see below), whose sum is σ = 172054856319840. Its totient is φ = 24509238784000.

The previous prime is 67400406666961. The next prime is 67400406667021. The reversal of 67400406667000 is 76660400476.

67400406667000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3063643849 + ... + 3063665848.

Almost surely, 2^{67400406667000} is an apocalyptic number.

It is an amenable number.

67400406667000 is an abundant number, since it is smaller than the sum of its proper divisors (104654449652840).

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

67400406667000 is a wasteful number, since it uses less digits than its factorization.

67400406667000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127309729 (or 6127309715 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 67400406667000 in words is "sixty-seven trillion, four hundred billion, four hundred six million, six hundred sixty-seven thousand".