6778191168 has 504 divisors, whose sum is σ = 23898660864. Its totient is φ = 1828915200.

The previous prime is 6778191131. The next prime is 6778191191. The reversal of 6778191168 is 8611918776.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53371521 + ... + 53371647.

Almost surely, 2^6778191168 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 6778191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11949330432).

6778191168 is an abundant number, since it is smaller than the sum of its proper divisors (17120469696).

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

6778191168 is a wasteful number, since it uses less digits than its factorization.

6778191168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 6778191168 is about 82329.7708487033. The cubic root of 6778191168 is about 1892.5089313523.

The spelling of 6778191168 in words is "six billion, seven hundred seventy-eight million, one hundred ninety-one thousand, one hundred sixty-eight".