71321363473920 has 960 divisors, whose sum is σ = 274044160051200. Its totient is φ = 15761324113920.

The previous prime is 71321363473907. The next prime is 71321363473991. The reversal of 71321363473920 is 2937436312317.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16437279111 + ... + 16437283449.

It is an arithmetic number, because the mean of its divisors is an integer number (285462666720).

Almost surely, 2^{71321363473920} is an apocalyptic number.

71321363473920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71321363473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137022080025600).

71321363473920 is an abundant number, since it is smaller than the sum of its proper divisors (202722796577280).

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

71321363473920 is a wasteful number, since it uses less digits than its factorization.

71321363473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 51.

The spelling of 71321363473920 in words is "seventy-one trillion, three hundred twenty-one billion, three hundred sixty-three million, four hundred seventy-three thousand, nine hundred twenty".