6800742656 has 72 divisors (see below), whose sum is σ = 14316012480. Its totient is φ = 3215407104.

The previous prime is 6800742629. The next prime is 6800742659. The reversal of 6800742656 is 6562470086.

It is not an unprimeable number, because it can be changed into a prime (6800742659) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3681125 + ... + 3682971.

Almost surely, 2^6800742656 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 6800742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158006240).

6800742656 is an abundant number, since it is smaller than the sum of its proper divisors (7515269824).

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

6800742656 is a wasteful number, since it uses less digits than its factorization.

6800742656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 6800742656 is about 82466.6154028404. The cubic root of 6800742656 is about 1894.6054419043.

The spelling of 6800742656 in words is "six billion, eight hundred million, seven hundred forty-two thousand, six hundred fifty-six".