6711913801728 has 192 divisors, whose sum is σ = 19888007630400. Its totient is φ = 2236662005760.

The previous prime is 6711913801727. The next prime is 6711913801729. The reversal of 6711913801728 is 8271083191176.

6711913801728 is a `hidden beast` number, since 6 + 7 + 1 + 1 + 91 + 380 + 172 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6711913801727) and next prime (6711913801729).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6711913801727) 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 15 ways as a sum of consecutive naturals, for example, 216910738 + ... + 216941678.

It is an arithmetic number, because the mean of its divisors is an integer number (103583373075).

Almost surely, 2^{6711913801728} 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 6711913801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9944003815200).

6711913801728 is an abundant number, since it is smaller than the sum of its proper divisors (13176093828672).

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

6711913801728 is a wasteful number, since it uses less digits than its factorization.

6711913801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34895 (or 34869 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 6711913801728 in words is "six trillion, seven hundred eleven billion, nine hundred thirteen million, eight hundred one thousand, seven hundred twenty-eight".