6795859680 has 288 divisors, whose sum is σ = 24983562240. Its totient is φ = 1677265920.

The previous prime is 6795859669. The next prime is 6795859691. The reversal of 6795859680 is 869585976.

It is an interprime number because it is at equal distance from previous prime (6795859669) and next prime (6795859691).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1023411 + ... + 1030029.

It is an arithmetic number, because the mean of its divisors is an integer number (86748480).

Almost surely, 2^6795859680 is an apocalyptic number.

6795859680 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 6795859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12491781120).

6795859680 is an abundant number, since it is smaller than the sum of its proper divisors (18187702560).

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

6795859680 is a wasteful number, since it uses less digits than its factorization.

6795859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The square root of 6795859680 is about 82437.0043123839. The cubic root of 6795859680 is about 1894.1518871274.

The spelling of 6795859680 in words is "six billion, seven hundred ninety-five million, eight hundred fifty-nine thousand, six hundred eighty".