8612405568 has 448 divisors, whose sum is σ = 28948684800. Its totient is φ = 2490808320.

The previous prime is 8612405551. The next prime is 8612405569. The reversal of 8612405568 is 8655042168.

8612405568 is a `hidden beast` number, since 8 + 61 + 24 + 0 + 5 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8612405569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40816983 + ... + 40817193.

It is an arithmetic number, because the mean of its divisors is an integer number (64617600).

Almost surely, 2^8612405568 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 8612405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14474342400).

8612405568 is an abundant number, since it is smaller than the sum of its proper divisors (20336279232).

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

8612405568 is a wasteful number, since it uses less digits than its factorization.

8612405568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8612405568 is about 92803.0471913503. The cubic root of 8612405568 is about 2049.7842777563.

The spelling of 8612405568 in words is "eight billion, six hundred twelve million, four hundred five thousand, five hundred sixty-eight".