667370363414401 has 32 divisors (see below), whose sum is σ = 708256339056000. Its totient is φ = 627068994342912.

The previous prime is 667370363414347. The next prime is 667370363414431. The reversal of 667370363414401 is 104414363073766.

It is a cyclic number.

It is not a de Polignac number, because 667370363414401 - 2³⁵ = 667336003676033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (667370363414431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16865970345 + ... + 16866009913.

It is an arithmetic number, because the mean of its divisors is an integer number (22133010595500).

Almost surely, 2^{667370363414401} is an apocalyptic number.

It is an amenable number.

667370363414401 is a deficient number, since it is larger than the sum of its proper divisors (40885975641599).

667370363414401 is a wasteful number, since it uses less digits than its factorization.

667370363414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45361.

The product of its (nonzero) digits is 18289152, while the sum is 55.

The spelling of 667370363414401 in words is "six hundred sixty-seven trillion, three hundred seventy billion, three hundred sixty-three million, four hundred fourteen thousand, four hundred one".