6746113000000 has 588 divisors, whose sum is σ = 18579862174720. Its totient is φ = 2428272000000.

The previous prime is 6746112999961. The next prime is 6746113000043. The reversal of 6746113000000 is 3116476.

It is a super-3 number, since 3×6746113000000³ (a number of 39 digits) contains 333 as substring.

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 83 ways as a sum of consecutive naturals, for example, 15366999781 + ... + 15367000219.

Almost surely, 2^{6746113000000} 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 6746113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289931087360).

6746113000000 is an abundant number, since it is smaller than the sum of its proper divisors (11833749174720).

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

6746113000000 is an equidigital number, since it uses as much as digits as its factorization.

6746113000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 6746113000000 its reverse (3116476), we get a palindrome (6746116116476).

The spelling of 6746113000000 in words is "six trillion, seven hundred forty-six billion, one hundred thirteen million", and thus it is an aban number.