6777344067401 has 8 divisors (see below), whose sum is σ = 6801731604360. Its totient is φ = 6752989780992.

The previous prime is 6777344067379. The next prime is 6777344067419. The reversal of 6777344067401 is 1047604437776.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2330935027600 + 4446409039801 = 1526740^2 + 2108651^2 .

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 6777344067401 - 2¹⁸ = 6777343805257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6777344067491) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7904216 + ... + 8719593.

It is an arithmetic number, because the mean of its divisors is an integer number (850216450545).

Almost surely, 2^{6777344067401} is an apocalyptic number.

It is an amenable number.

6777344067401 is a deficient number, since it is larger than the sum of its proper divisors (24387536959).

6777344067401 is a wasteful number, since it uses less digits than its factorization.

6777344067401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16625275.

The product of its (nonzero) digits is 16595712, while the sum is 56.

The spelling of 6777344067401 in words is "six trillion, seven hundred seventy-seven billion, three hundred forty-four million, sixty-seven thousand, four hundred one".