71681290560 has 1008 divisors, whose sum is σ = 288848261520. Its totient is φ = 16274227200.

The previous prime is 71681290529. The next prime is 71681290657. The reversal of 71681290560 is 6509218617.

71681290560 is a `hidden beast` number, since 7 + 1 + 6 + 81 + 2 + 9 + 0 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 725117184 + 70956173376 = 26928^2 + 266376^2 .

It is a super-3 number, since 3×71681290560³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 143 ways as a sum of consecutive naturals, for example, 414342634 + ... + 414342806.

It is an arithmetic number, because the mean of its divisors is an integer number (286555815).

Almost surely, 2^71681290560 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 71681290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144424130760).

71681290560 is an abundant number, since it is smaller than the sum of its proper divisors (217166970960).

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

71681290560 is a wasteful number, since it uses less digits than its factorization.

71681290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 71681290560 in words is "seventy-one billion, six hundred eighty-one million, two hundred ninety thousand, five hundred sixty".