71834897520 has 640 divisors, whose sum is σ = 268054272000. Its totient is φ = 17627258880.

The previous prime is 71834897507. The next prime is 71834897521. The reversal of 71834897520 is 2579843817.

It is a happy number.

71834897520 is a `hidden beast` number, since 7 + 1 + 8 + 34 + 89 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71834897521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 259331622 + ... + 259331898.

It is an arithmetic number, because the mean of its divisors is an integer number (418834800).

Almost surely, 2^71834897520 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 71834897520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134027136000).

71834897520 is an abundant number, since it is smaller than the sum of its proper divisors (196219374480).

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

71834897520 is a wasteful number, since it uses less digits than its factorization.

71834897520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 71834897520 in words is "seventy-one billion, eight hundred thirty-four million, eight hundred ninety-seven thousand, five hundred twenty".