6768095488 has 288 divisors, whose sum is σ = 18790410240. Its totient is φ = 2348974080.

The previous prime is 6768095473. The next prime is 6768095489. The reversal of 6768095488 is 8845908676.

It is not an unprimeable number, because it can be changed into a prime (6768095489) 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, 6366445 + ... + 6367507.

It is an arithmetic number, because the mean of its divisors is an integer number (65244480).

Almost surely, 2^6768095488 is an apocalyptic number.

6768095488 is a gapful number since it is divisible by the number (68) 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 6768095488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395205120).

6768095488 is an abundant number, since it is smaller than the sum of its proper divisors (12022314752).

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

6768095488 is a wasteful number, since it uses less digits than its factorization.

6768095488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The square root of 6768095488 is about 82268.4355509451. The cubic root of 6768095488 is about 1891.5688743493.

The spelling of 6768095488 in words is "six billion, seven hundred sixty-eight million, ninety-five thousand, four hundred eighty-eight".