8201716992 has 288 divisors, whose sum is σ = 27903052800. Its totient is φ = 2327795712.

The previous prime is 8201716969. The next prime is 8201717009. The reversal of 8201716992 is 2996171028.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8660263 + ... + 8661209.

It is an arithmetic number, because the mean of its divisors is an integer number (96885600).

Almost surely, 2^8201716992 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 8201716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951526400).

8201716992 is an abundant number, since it is smaller than the sum of its proper divisors (19701335808).

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

8201716992 is a wasteful number, since it uses less digits than its factorization.

8201716992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 8201716992 is about 90563.3313874882. The cubic root of 8201716992 is about 2016.6704119534.

The spelling of 8201716992 in words is "eight billion, two hundred one million, seven hundred sixteen thousand, nine hundred ninety-two".