6782617968 has 160 divisors (see below), whose sum is σ = 20981514240. Its totient is φ = 1847197440.

The previous prime is 6782617957. The next prime is 6782617969. The reversal of 6782617968 is 8697162876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6782617969) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 693013 + ... + 702731.

It is an arithmetic number, because the mean of its divisors is an integer number (131134464).

Almost surely, 2^6782617968 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 6782617968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10490757120).

6782617968 is an abundant number, since it is smaller than the sum of its proper divisors (14198896272).

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

6782617968 is a wasteful number, since it uses less digits than its factorization.

6782617968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9835 (or 9829 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 60.

The square root of 6782617968 is about 82356.6510246744. The cubic root of 6782617968 is about 1892.9208374773.

The spelling of 6782617968 in words is "six billion, seven hundred eighty-two million, six hundred seventeen thousand, nine hundred sixty-eight".