6795635640336 has 135 divisors (see below), whose sum is σ = 19204058094039. Its totient is φ = 2243303963136.

The previous prime is 6795635640331. The next prime is 6795635640341. The reversal of 6795635640336 is 6330465365976.

It is a happy number.

The square root of 6795635640336 is 2606844.

It is a perfect power (a square), and thus also a powerful number.

6795635640336 is a `hidden beast` number, since 6 + 7 + 9 + 5 + 63 + 564 + 0 + 3 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6795635640331) and next prime (6795635640341).

It can be written as a sum of positive squares in 4 ways, for example, as 1251758192400 + 5543877447936 = 1118820^2 + 2354544^2 .

It is not an unprimeable number, because it can be changed into a prime (6795635640331) 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 26 ways as a sum of consecutive naturals, for example, 3409750956 + ... + 3409752948.

Almost surely, 2^{6795635640336} is an apocalyptic number.

6795635640336 is the 2606844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6795635640336

6795635640336 is an abundant number, since it is smaller than the sum of its proper divisors (12408422453703).

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

6795635640336 is an equidigital number, since it uses as much as digits as its factorization.

6795635640336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 63.

The spelling of 6795635640336 in words is "six trillion, seven hundred ninety-five billion, six hundred thirty-five million, six hundred forty thousand, three hundred thirty-six".