6780733256640 has 504 divisors, whose sum is σ = 25937245846512. Its totient is φ = 1496428953600.

The previous prime is 6780733256603. The next prime is 6780733256641. The reversal of 6780733256640 is 466523370876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6780733256641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39474940 + ... + 39646340.

It is an arithmetic number, because the mean of its divisors is an integer number (51462789378).

Almost surely, 2^{6780733256640} is an apocalyptic number.

6780733256640 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 6780733256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968622923256).

6780733256640 is an abundant number, since it is smaller than the sum of its proper divisors (19156512589872).

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

6780733256640 is a wasteful number, since it uses less digits than its factorization.

6780733256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171493 (or 171447 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 6780733256640 in words is "six trillion, seven hundred eighty billion, seven hundred thirty-three million, two hundred fifty-six thousand, six hundred forty".