71845568640 has 768 divisors, whose sum is σ = 273447083520. Its totient is φ = 17310154752.

The previous prime is 71845568609. The next prime is 71845568647. The reversal of 71845568640 is 4686554817.

71845568640 is a `hidden beast` number, since 7 + 1 + 8 + 4 + 556 + 86 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (71845568647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308349964 + ... + 308350196.

It is an arithmetic number, because the mean of its divisors is an integer number (356050890).

Almost surely, 2^71845568640 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 71845568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136723541760).

71845568640 is an abundant number, since it is smaller than the sum of its proper divisors (201601514880).

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

71845568640 is a wasteful number, since it uses less digits than its factorization.

71845568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 71845568640 in words is "seventy-one billion, eight hundred forty-five million, five hundred sixty-eight thousand, six hundred forty".