672268806401 has 2 divisors, whose sum is σ = 672268806402. Its totient is φ = 672268806400.

The previous prime is 672268806379. The next prime is 672268806403. The reversal of 672268806401 is 104608862276.

It is a happy number.

It is a Cunningham number, because it is equal to 819920²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 672268806400 + 1 = 819920^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 672268806401 - 2³⁰ = 671195064577 is a prime.

Together with 672268806403, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 672268806401.

It is not a weakly prime, because it can be changed into another prime (672268806403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 336134403200 + 336134403201.

It is an arithmetic number, because the mean of its divisors is an integer number (336134403201).

Almost surely, 2^672268806401 is an apocalyptic number.

It is an amenable number.

672268806401 is a deficient number, since it is larger than the sum of its proper divisors (1).

672268806401 is an equidigital number, since it uses as much as digits as its factorization.

672268806401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 672268806401 in words is "six hundred seventy-two billion, two hundred sixty-eight million, eight hundred six thousand, four hundred one".