6778746300 has 288 divisors, whose sum is σ = 21112648704. Its totient is φ = 1675520000.

The previous prime is 6778746253. The next prime is 6778746307. The reversal of 6778746300 is 36478776.

It is a self number, because there is not a number n which added to its sum of digits gives 6778746300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6778746307) 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 95 ways as a sum of consecutive naturals, for example, 49479832 + ... + 49479968.

It is an arithmetic number, because the mean of its divisors is an integer number (73307808).

Almost surely, 2^6778746300 is an apocalyptic number.

6778746300 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 6778746300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10556324352).

6778746300 is an abundant number, since it is smaller than the sum of its proper divisors (14333902404).

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

6778746300 is a wasteful number, since it uses less digits than its factorization.

6778746300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 6778746300 is about 82333.1421725176. The cubic root of 6778746300 is about 1892.5605952629.

The spelling of 6778746300 in words is "six billion, seven hundred seventy-eight million, seven hundred forty-six thousand, three hundred".