6769808640 has 648 divisors, whose sum is σ = 27808129440. Its totient is φ = 1515773952.

The previous prime is 6769808627. The next prime is 6769808641. The reversal of 6769808640 is 468089676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6769808641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37820071 + ... + 37820249.

It is an arithmetic number, because the mean of its divisors is an integer number (42913780).

Almost surely, 2^6769808640 is an apocalyptic number.

6769808640 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 6769808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904064720).

6769808640 is an abundant number, since it is smaller than the sum of its proper divisors (21038320800).

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

6769808640 is a wasteful number, since it uses less digits than its factorization.

6769808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6769808640 is about 82278.8468562850. The cubic root of 6769808640 is about 1891.7284599435.

It can be divided in two parts, 6769 and 808640, that added together give a square (815409 = 903²).

The spelling of 6769808640 in words is "six billion, seven hundred sixty-nine million, eight hundred eight thousand, six hundred forty".