8509705344 has 384 divisors, whose sum is σ = 30176985600. Its totient is φ = 2351462400.

The previous prime is 8509705343. The next prime is 8509705357. The reversal of 8509705344 is 4435079058.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 8509705344.

It is not an unprimeable number, because it can be changed into a prime (8509705343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5248854 + ... + 5250474.

It is an arithmetic number, because the mean of its divisors is an integer number (78585900).

Almost surely, 2^8509705344 is an apocalyptic number.

8509705344 is a gapful number since it is divisible by the number (84) 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 8509705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088492800).

8509705344 is an abundant number, since it is smaller than the sum of its proper divisors (21667280256).

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

8509705344 is a wasteful number, since it uses less digits than its factorization.

8509705344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 8509705344 is about 92248.0641748107. The cubic root of 8509705344 is about 2041.6039980039.

The spelling of 8509705344 in words is "eight billion, five hundred nine million, seven hundred five thousand, three hundred forty-four".