71324203826304 has 1024 divisors, whose sum is σ = 251436281241600. Its totient is φ = 19620403200000.

The previous prime is 71324203826257. The next prime is 71324203826329. The reversal of 71324203826304 is 40362830242317.

71324203826304 is a `hidden beast` number, since 7 + 1 + 3 + 2 + 4 + 2 + 0 + 3 + 8 + 2 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71324203826304.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7537161477 + ... + 7537170939.

It is an arithmetic number, because the mean of its divisors is an integer number (245543243400).

Almost surely, 2^{71324203826304} 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 71324203826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125718140620800).

71324203826304 is an abundant number, since it is smaller than the sum of its proper divisors (180112077415296).

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

71324203826304 is a wasteful number, since it uses less digits than its factorization.

71324203826304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9762 (or 9744 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 71324203826304 in words is "seventy-one trillion, three hundred twenty-four billion, two hundred three million, eight hundred twenty-six thousand, three hundred four".