6711726189888 has 672 divisors, whose sum is σ = 20566829803520. Its totient is φ = 2089711042560.

The previous prime is 6711726189871. The next prime is 6711726189893. The reversal of 6711726189888 is 8889816271176.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 13781778381 + ... + 13781778867.

Almost surely, 2^{6711726189888} 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 6711726189888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10283414901760).

6711726189888 is an abundant number, since it is smaller than the sum of its proper divisors (13855103613632).

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

6711726189888 is a wasteful number, since it uses less digits than its factorization.

6711726189888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 802 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 72.

The spelling of 6711726189888 in words is "six trillion, seven hundred eleven billion, seven hundred twenty-six million, one hundred eighty-nine thousand, eight hundred eighty-eight".