71989473984480 has 2688 divisors, whose sum is σ = 300810169110528. Its totient is φ = 16127430967296.

The previous prime is 71989473984397. The next prime is 71989473984487. The reversal of 71989473984480 is 8448937498917.

71989473984480 is a `hidden beast` number, since 7 + 1 + 9 + 8 + 9 + 47 + 3 + 98 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 71989473984480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71989473984487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 60648250447 + ... + 60648251633.

It is an arithmetic number, because the mean of its divisors is an integer number (111908545056).

Almost surely, 2^{71989473984480} 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 71989473984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150405084555264).

71989473984480 is an abundant number, since it is smaller than the sum of its proper divisors (228820695126048).

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

71989473984480 is a wasteful number, since it uses less digits than its factorization.

71989473984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 71989473984480 in words is "seventy-one trillion, nine hundred eighty-nine billion, four hundred seventy-three million, nine hundred eighty-four thousand, four hundred eighty".