711664807680 has 864 divisors, whose sum is σ = 2751311646720. Its totient is φ = 175615672320.

The previous prime is 711664807619. The next prime is 711664807727. The reversal of 711664807680 is 86708466117.

711664807680 is a `hidden beast` number, since 7 + 1 + 16 + 6 + 480 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×711664807680² (a number of 25 digits) contains 22 as substring.

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

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, 221769916 + ... + 221773124.

It is an arithmetic number, because the mean of its divisors is an integer number (3184388480).

Almost surely, 2^711664807680 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 711664807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375655823360).

711664807680 is an abundant number, since it is smaller than the sum of its proper divisors (2039646839040).

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

711664807680 is a wasteful number, since it uses less digits than its factorization.

711664807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 711664807680 in words is "seven hundred eleven billion, six hundred sixty-four million, eight hundred seven thousand, six hundred eighty".