71600734365696 has 576 divisors, whose sum is σ = 210973708632960. Its totient is φ = 23391004262400.

The previous prime is 71600734365673. The next prime is 71600734365731. The reversal of 71600734365696 is 69656343700617.

It is a happy number.

71600734365696 is a `hidden beast` number, since 7 + 1 + 6 + 0 + 0 + 7 + 34 + 36 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 124091393760 + ... + 124091394336.

It is an arithmetic number, because the mean of its divisors is an integer number (366273799710).

Almost surely, 2^{71600734365696} 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 71600734365696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105486854316480).

71600734365696 is an abundant number, since it is smaller than the sum of its proper divisors (139372974267264).

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

71600734365696 is a wasteful number, since it uses less digits than its factorization.

71600734365696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 71600734365696 in words is "seventy-one trillion, six hundred billion, seven hundred thirty-four million, three hundred sixty-five thousand, six hundred ninety-six".