71686103328 has 192 divisors, whose sum is σ = 239809731840. Its totient is φ = 20408371200.

The previous prime is 71686103297. The next prime is 71686103339. The reversal of 71686103328 is 82330168617.

71686103328 is a `hidden beast` number, since 7 + 1 + 6 + 8 + 610 + 3 + 3 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1678398 + ... + 1720578.

It is an arithmetic number, because the mean of its divisors is an integer number (1249009020).

Almost surely, 2^71686103328 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 71686103328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119904865920).

71686103328 is an abundant number, since it is smaller than the sum of its proper divisors (168123628512).

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

71686103328 is a wasteful number, since it uses less digits than its factorization.

71686103328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42488 (or 42474 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 71686103328 in words is "seventy-one billion, six hundred eighty-six million, one hundred three thousand, three hundred twenty-eight".