6711174441664 has 336 divisors, whose sum is σ = 18039523138560. Its totient is φ = 2416692326400.

The previous prime is 6711174441613. The next prime is 6711174441667. The reversal of 6711174441664 is 4661444711176.

It is not an unprimeable number, because it can be changed into a prime (6711174441667) 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 47 ways as a sum of consecutive naturals, for example, 42148569 + ... + 42307495.

It is an arithmetic number, because the mean of its divisors is an integer number (53689056960).

Almost surely, 2^{6711174441664} is an apocalyptic number.

6711174441664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6711174441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9019761569280).

6711174441664 is an abundant number, since it is smaller than the sum of its proper divisors (11328348696896).

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

6711174441664 is a wasteful number, since it uses less digits than its factorization.

6711174441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159028 (or 159007 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 52.

The spelling of 6711174441664 in words is "six trillion, seven hundred eleven billion, one hundred seventy-four million, four hundred forty-one thousand, six hundred sixty-four".