6730386768 has 480 divisors, whose sum is σ = 24274339200. Its totient is φ = 1773563904.

The previous prime is 6730386743. The next prime is 6730386791. The reversal of 6730386768 is 8676830376.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 21231346 + ... + 21231662.

It is an arithmetic number, because the mean of its divisors is an integer number (50571540).

Almost surely, 2^6730386768 is an apocalyptic number.

6730386768 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 6730386768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12137169600).

6730386768 is an abundant number, since it is smaller than the sum of its proper divisors (17543952432).

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

6730386768 is a wasteful number, since it uses less digits than its factorization.

6730386768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 6730386768 is about 82038.9344640702. The cubic root of 6730386768 is about 1888.0493454617.

The spelling of 6730386768 in words is "six billion, seven hundred thirty million, three hundred eighty-six thousand, seven hundred sixty-eight".