711084068352 has 960 divisors, whose sum is σ = 2606833152000. Its totient is φ = 187240660992.

The previous prime is 711084068333. The next prime is 711084068413. The reversal of 711084068352 is 253860480117.

711084068352 is a `hidden beast` number, since 7 + 110 + 8 + 406 + 83 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 711084068298 and 711084068307.

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 95 ways as a sum of consecutive naturals, for example, 1484517649 + ... + 1484518127.

It is an arithmetic number, because the mean of its divisors is an integer number (2715451200).

Almost surely, 2^711084068352 is an apocalyptic number.

711084068352 is a gapful number since it is divisible by the number (72) 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 711084068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303416576000).

711084068352 is an abundant number, since it is smaller than the sum of its proper divisors (1895749083648).

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

711084068352 is a wasteful number, since it uses less digits than its factorization.

711084068352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 711084068352 in words is "seven hundred eleven billion, eighty-four million, sixty-eight thousand, three hundred fifty-two".