6778664755200 has 2520 divisors, whose sum is σ = 29315118235788. Its totient is φ = 1533919887360.

The previous prime is 6778664755189. The next prime is 6778664755207. The reversal of 6778664755200 is 25574668776.

6778664755200 is a `hidden beast` number, since 6 + 7 + 7 + 8 + 66 + 47 + 5 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2135432761344 + 4643231993856 = 1461312^2 + 2154816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6778664755207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 157643366379 + ... + 157643366421.

Almost surely, 2^{6778664755200} is an apocalyptic number.

6778664755200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6778664755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657559117894).

6778664755200 is an abundant number, since it is smaller than the sum of its proper divisors (22536453480588).

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

6778664755200 is a wasteful number, since it uses less digits than its factorization.

6778664755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 6778664755200 in words is "six trillion, seven hundred seventy-eight billion, six hundred sixty-four million, seven hundred fifty-five thousand, two hundred".