71680181920 has 96 divisors (see below), whose sum is σ = 173588438016. Its totient is φ = 27954432000.

The previous prime is 71680181899. The next prime is 71680181929. The reversal of 71680181920 is 2918108617.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71680181929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14475445 + ... + 14480395.

It is an arithmetic number, because the mean of its divisors is an integer number (1808212896).

Almost surely, 2^71680181920 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 71680181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86794219008).

71680181920 is an abundant number, since it is smaller than the sum of its proper divisors (101908256096).

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

71680181920 is a wasteful number, since it uses less digits than its factorization.

71680181920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7214 (or 7206 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 43.

The spelling of 71680181920 in words is "seventy-one billion, six hundred eighty million, one hundred eighty-one thousand, nine hundred twenty".