6780191648 has 192 divisors, whose sum is σ = 15202857600. Its totient is φ = 2962391040.

The previous prime is 6780191641. The next prime is 6780191657. The reversal of 6780191648 is 8461910876.

It is a junction number, because it is equal to n+sod(n) for n = 6780191596 and 6780191605.

It is not an unprimeable number, because it can be changed into a prime (6780191641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60001640 + ... + 60001752.

It is an arithmetic number, because the mean of its divisors is an integer number (79181550).

Almost surely, 2^6780191648 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 6780191648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601428800).

6780191648 is an abundant number, since it is smaller than the sum of its proper divisors (8422665952).

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

6780191648 is a wasteful number, since it uses less digits than its factorization.

6780191648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The square root of 6780191648 is about 82341.9191420749. The cubic root of 6780191648 is about 1892.6950947786.

The spelling of 6780191648 in words is "six billion, seven hundred eighty million, one hundred ninety-one thousand, six hundred forty-eight".