71711336704 has 72 divisors (see below), whose sum is σ = 164840816448. Its totient is φ = 30498723840.

The previous prime is 71711336659. The next prime is 71711336729. The reversal of 71711336704 is 40763311717.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82014 + ... + 387490.

It is an arithmetic number, because the mean of its divisors is an integer number (2289455784).

Almost surely, 2^71711336704 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 71711336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82420408224).

71711336704 is an abundant number, since it is smaller than the sum of its proper divisors (93129479744).

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

71711336704 is a wasteful number, since it uses less digits than its factorization.

71711336704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305631 (or 305617 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The spelling of 71711336704 in words is "seventy-one billion, seven hundred eleven million, three hundred thirty-six thousand, seven hundred four".