8561288064 has 256 divisors, whose sum is σ = 26871989760. Its totient is φ = 2364211200.

The previous prime is 8561288063. The next prime is 8561288093. The reversal of 8561288064 is 4608821658.

It is a happy number.

It is a super-3 number, since 3×8561288064³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8561288063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14436952 + ... + 14437544.

It is an arithmetic number, because the mean of its divisors is an integer number (104968710).

Almost surely, 2^8561288064 is an apocalyptic number.

8561288064 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 8561288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13435994880).

8561288064 is an abundant number, since it is smaller than the sum of its proper divisors (18310701696).

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

8561288064 is a wasteful number, since it uses less digits than its factorization.

8561288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 8561288064 is about 92527.2287707786. The cubic root of 8561288064 is about 2045.7208430357.

The spelling of 8561288064 in words is "eight billion, five hundred sixty-one million, two hundred eighty-eight thousand, sixty-four".