8359846560 has 576 divisors, whose sum is σ = 32964291360. Its totient is φ = 1911029760.

The previous prime is 8359846541. The next prime is 8359846567. The reversal of 8359846560 is 656489538.

It is a happy number.

8359846560 is a `hidden beast` number, since 8 + 3 + 598 + 46 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1974558096 + 6385288464 = 44436^2 + 79908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8359846497 and 8359846506.

It is not an unprimeable number, because it can be changed into a prime (8359846567) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 34688040 + ... + 34688280.

Almost surely, 2^8359846560 is an apocalyptic number.

8359846560 is a gapful number since it is divisible by the number (80) 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 8359846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16482145680).

8359846560 is an abundant number, since it is smaller than the sum of its proper divisors (24604444800).

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

8359846560 is a wasteful number, since it uses less digits than its factorization.

8359846560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 8359846560 is about 91432.1965174194. The cubic root of 8359846560 is about 2029.5485062864.

The spelling of 8359846560 in words is "eight billion, three hundred fifty-nine million, eight hundred forty-six thousand, five hundred sixty".