6780973368288 has 768 divisors, whose sum is σ = 22317642547200. Its totient is φ = 1760341524480.

The previous prime is 6780973368199. The next prime is 6780973368331. The reversal of 6780973368288 is 8828633790876.

It is a super-2 number, since 2×6780973368288² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8817910368 + ... + 8817911136.

It is an arithmetic number, because the mean of its divisors is an integer number (29059430400).

Almost surely, 2^{6780973368288} 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 6780973368288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158821273600).

6780973368288 is an abundant number, since it is smaller than the sum of its proper divisors (15536669178912).

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

6780973368288 is a wasteful number, since it uses less digits than its factorization.

6780973368288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 75.

The spelling of 6780973368288 in words is "six trillion, seven hundred eighty billion, nine hundred seventy-three million, three hundred sixty-eight thousand, two hundred eighty-eight".