71694711816 has 288 divisors, whose sum is σ = 227362420800. Its totient is φ = 18775411200.

The previous prime is 71694711769. The next prime is 71694711827. The reversal of 71694711816 is 61811749617.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30009150 + ... + 30011538.

It is an arithmetic number, because the mean of its divisors is an integer number (789452850).

Almost surely, 2^71694711816 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 71694711816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113681210400).

71694711816 is an abundant number, since it is smaller than the sum of its proper divisors (155667708984).

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

71694711816 is a wasteful number, since it uses less digits than its factorization.

71694711816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2565 counting only the distinct ones).

The product of its digits is 508032, while the sum is 51.

The spelling of 71694711816 in words is "seventy-one billion, six hundred ninety-four million, seven hundred eleven thousand, eight hundred sixteen".