71348584320 has 320 divisors, whose sum is σ = 274401167040. Its totient is φ = 17562562560.

The previous prime is 71348584289. The next prime is 71348584357. The reversal of 71348584320 is 2348584317.

71348584320 is a `hidden beast` number, since 7 + 1 + 3 + 48 + 584 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 620985 + ... + 726855.

It is an arithmetic number, because the mean of its divisors is an integer number (857503647).

Almost surely, 2^71348584320 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 71348584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137200583520).

71348584320 is an abundant number, since it is smaller than the sum of its proper divisors (203052582720).

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

71348584320 is a wasteful number, since it uses less digits than its factorization.

71348584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105915 (or 105894 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 71348584320 in words is "seventy-one billion, three hundred forty-eight million, five hundred eighty-four thousand, three hundred twenty".