6768000000 has 462 divisors, whose sum is σ = 24947493168. Its totient is φ = 1766400000.

The previous prime is 6767999993. The next prime is 6768000097. The reversal of 6768000000 is 8676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 143999977 + ... + 144000023.

Almost surely, 2^6768000000 is an apocalyptic number.

6768000000 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 6768000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473746584).

6768000000 is an abundant number, since it is smaller than the sum of its proper divisors (18179493168).

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

6768000000 is an frugal number, since it uses more digits than its factorization.

6768000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6768000000 is about 82267.8552048125. The cubic root of 6768000000 is about 1891.5599785440.

Adding to 6768000000 its reverse (8676), we get a palindrome (6768008676).

The spelling of 6768000000 in words is "six billion, seven hundred sixty-eight million", and thus it is an aban number.