6778557867744 has 288 divisors, whose sum is σ = 21510565300224. Its totient is φ = 2010745451520.

The previous prime is 6778557867733. The next prime is 6778557867749. The reversal of 6778557867744 is 4477687558776.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6778557867749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30413799 + ... + 30635865.

It is an arithmetic number, because the mean of its divisors is an integer number (74689462848).

Almost surely, 2^{6778557867744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6778557867744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755282650112).

6778557867744 is an abundant number, since it is smaller than the sum of its proper divisors (14732007432480).

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

6778557867744 is a wasteful number, since it uses less digits than its factorization.

6778557867744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222390 (or 222379 counting only the distinct ones).

The product of its digits is 15489331200, while the sum is 81.

The spelling of 6778557867744 in words is "six trillion, seven hundred seventy-eight billion, five hundred fifty-seven million, eight hundred sixty-seven thousand, seven hundred forty-four".