71824414068 has 96 divisors (see below), whose sum is σ = 203192478720. Its totient is φ = 21759325920.

The previous prime is 71824414043. The next prime is 71824414091. The reversal of 71824414068 is 86041442817.

71824414068 is a `hidden beast` number, since 71 + 82 + 441 + 4 + 0 + 68 = 666.

It is a congruent number.

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, 8077521 + ... + 8086407.

It is an arithmetic number, because the mean of its divisors is an integer number (2116588320).

Almost surely, 2^71824414068 is an apocalyptic number.

It is an amenable number.

71824414068 is an abundant number, since it is smaller than the sum of its proper divisors (131368064652).

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

71824414068 is a wasteful number, since it uses less digits than its factorization.

71824414068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15714 (or 15706 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 71824414068 in words is "seventy-one billion, eight hundred twenty-four million, four hundred fourteen thousand, sixty-eight".