6713641556664 has 128 divisors (see below), whose sum is σ = 19466276659200. Its totient is φ = 1889778602880.

The previous prime is 6713641556651. The next prime is 6713641556683. The reversal of 6713641556664 is 4666551463176.

It is a junction number, because it is equal to n+sod(n) for n = 6713641556598 and 6713641556607.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16099707 + ... + 16511445.

It is an arithmetic number, because the mean of its divisors is an integer number (152080286400).

Almost surely, 2^{6713641556664} 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 6713641556664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733138329600).

6713641556664 is an abundant number, since it is smaller than the sum of its proper divisors (12752635102536).

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

6713641556664 is a wasteful number, since it uses less digits than its factorization.

6713641556664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413193 (or 413189 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 60.

The spelling of 6713641556664 in words is "six trillion, seven hundred thirteen billion, six hundred forty-one million, five hundred fifty-six thousand, six hundred sixty-four".