83645717568 has 224 divisors, whose sum is σ = 256078817280. Its totient is φ = 23602974720.

The previous prime is 83645717513. The next prime is 83645717599. The reversal of 83645717568 is 86571754638.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41021893 + ... + 41023931.

Almost surely, 2^83645717568 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 83645717568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128039408640).

83645717568 is an abundant number, since it is smaller than the sum of its proper divisors (172433099712).

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

83645717568 is a wasteful number, since it uses less digits than its factorization.

83645717568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2415 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 60.

The spelling of 83645717568 in words is "eighty-three billion, six hundred forty-five million, seven hundred seventeen thousand, five hundred sixty-eight".