6681035635008 has 224 divisors, whose sum is σ = 20581890662400. Its totient is φ = 1873252085760.

The previous prime is 6681035634997. The next prime is 6681035635039. The reversal of 6681035635008 is 8005365301866.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×6681035635008³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19353193 + ... + 19695383.

Almost surely, 2^{6681035635008} 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 6681035635008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10290945331200).

6681035635008 is an abundant number, since it is smaller than the sum of its proper divisors (13900855027392).

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

6681035635008 is a wasteful number, since it uses less digits than its factorization.

6681035635008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342485 (or 342475 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 6681035635008 in words is "six trillion, six hundred eighty-one billion, thirty-five million, six hundred thirty-five thousand, eight".