6768344639424 has 224 divisors, whose sum is σ = 18737957952000. Its totient is φ = 2152092450816.

The previous prime is 6768344639347. The next prime is 6768344639437. The reversal of 6768344639424 is 4249364438676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4206552732 + ... + 4206554340.

It is an arithmetic number, because the mean of its divisors is an integer number (83651598000).

Almost surely, 2^{6768344639424} is an apocalyptic number.

6768344639424 is a gapful number since it is divisible by the number (64) 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 6768344639424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9368978976000).

6768344639424 is an abundant number, since it is smaller than the sum of its proper divisors (11969613312576).

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

6768344639424 is a wasteful number, since it uses less digits than its factorization.

6768344639424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3665 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 66.

The spelling of 6768344639424 in words is "six trillion, seven hundred sixty-eight billion, three hundred forty-four million, six hundred thirty-nine thousand, four hundred twenty-four".