8289713376 has 432 divisors, whose sum is σ = 29578348800. Its totient is φ = 2188601856.

The previous prime is 8289713339. The next prime is 8289713381. The reversal of 8289713376 is 6733179828.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11529145 + ... + 11529863.

It is an arithmetic number, because the mean of its divisors is an integer number (68468400).

Almost surely, 2^8289713376 is an apocalyptic number.

8289713376 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8289713376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789174400).

8289713376 is an abundant number, since it is smaller than the sum of its proper divisors (21288635424).

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

8289713376 is a wasteful number, since it uses less digits than its factorization.

8289713376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 793 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 8289713376 is about 91047.8631050724. The cubic root of 8289713376 is about 2023.8570699008.

The spelling of 8289713376 in words is "eight billion, two hundred eighty-nine million, seven hundred thirteen thousand, three hundred seventy-six".