6800711705760 has 768 divisors, whose sum is σ = 26637366067200. Its totient is φ = 1423260979200.

The previous prime is 6800711705747. The next prime is 6800711705761. The reversal of 6800711705760 is 675071170086.

It is a happy number.

It is a super-2 number, since 2×6800711705760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6800711705761) by changing a digit.

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, 1921646071 + ... + 1921649609.

It is an arithmetic number, because the mean of its divisors is an integer number (34684070400).

Almost surely, 2^{6800711705760} is an apocalyptic number.

6800711705760 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 6800711705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318683033600).

6800711705760 is an abundant number, since it is smaller than the sum of its proper divisors (19836654361440).

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

6800711705760 is a wasteful number, since it uses less digits than its factorization.

6800711705760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

The spelling of 6800711705760 in words is "six trillion, eight hundred billion, seven hundred eleven million, seven hundred five thousand, seven hundred sixty".