71609410752 has 168 divisors, whose sum is σ = 214976756736. Its totient is φ = 20999616000.

The previous prime is 71609410751. The next prime is 71609410801. The reversal of 71609410752 is 25701490617.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71609410751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670477 + ... + 769907.

It is an arithmetic number, because the mean of its divisors is an integer number (1279623552).

Almost surely, 2^71609410752 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 71609410752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107488378368).

71609410752 is an abundant number, since it is smaller than the sum of its proper divisors (143367345984).

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

71609410752 is a wasteful number, since it uses less digits than its factorization.

71609410752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99499 (or 99478 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 71609410752 in words is "seventy-one billion, six hundred nine million, four hundred ten thousand, seven hundred fifty-two".