71706328848000 has 2304 divisors, whose sum is σ = 342529110443520. Its totient is φ = 14023139328000.

The previous prime is 71706328847981. The next prime is 71706328848013. The reversal of 71706328848000 is 84882360717.

It is a happy number.

71706328848000 is a `hidden beast` number, since 71 + 70 + 6 + 3 + 28 + 8 + 480 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 2073438709 + ... + 2073473291.

It is an arithmetic number, because the mean of its divisors is an integer number (148667148630).

Almost surely, 2^{71706328848000} is an apocalyptic number.

71706328848000 is a gapful number since it is divisible by the number (70) 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 71706328848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171264555221760).

71706328848000 is an abundant number, since it is smaller than the sum of its proper divisors (270822781595520).

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

71706328848000 is a wasteful number, since it uses less digits than its factorization.

71706328848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34664 (or 34628 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 71706328848000 in words is "seventy-one trillion, seven hundred six billion, three hundred twenty-eight million, eight hundred forty-eight thousand".