3667407400067 has 8 divisors (see below), whose sum is σ = 3737289801600. Its totient is φ = 3597550407360.

The previous prime is 3667407400051. The next prime is 3667407400073. The reversal of 3667407400067 is 7600047047663.

3667407400067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3667407400067 - 2⁴ = 3667407400051 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3667407399988 and 3667407400024.

It is not an unprimeable number, because it can be changed into a prime (3667407403067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6060659 + ... + 6638252.

It is an arithmetic number, because the mean of its divisors is an integer number (467161225200).

Almost surely, 2^{3667407400067} is an apocalyptic number.

3667407400067 is a deficient number, since it is larger than the sum of its proper divisors (69882401533).

3667407400067 is a wasteful number, since it uses less digits than its factorization.

3667407400067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12704413.

The product of its (nonzero) digits is 3556224, while the sum is 50.

The spelling of 3667407400067 in words is "three trillion, six hundred sixty-seven billion, four hundred seven million, four hundred thousand, sixty-seven".