6813074326968 has 480 divisors, whose sum is σ = 23646598272000. Its totient is φ = 1794505280256.

The previous prime is 6813074326963. The next prime is 6813074326991. The reversal of 6813074326968 is 8696234703186.

6813074326968 is a `hidden beast` number, since 6 + 8 + 1 + 307 + 4 + 3 + 269 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6813074326963) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 630893233 + ... + 630904031.

It is an arithmetic number, because the mean of its divisors is an integer number (49263746400).

Almost surely, 2^{6813074326968} 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 6813074326968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11823299136000).

6813074326968 is an abundant number, since it is smaller than the sum of its proper divisors (16833523945032).

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

6813074326968 is a wasteful number, since it uses less digits than its factorization.

6813074326968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11673 (or 11647 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 6813074326968 in words is "six trillion, eight hundred thirteen billion, seventy-four million, three hundred twenty-six thousand, nine hundred sixty-eight".