8250566688 has 720 divisors, whose sum is σ = 32119053120. Its totient is φ = 2053610496.

The previous prime is 8250566683. The next prime is 8250566689. The reversal of 8250566688 is 8866650528.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8250566683) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31370845 + ... + 31371107.

It is an arithmetic number, because the mean of its divisors is an integer number (44609796).

Almost surely, 2^8250566688 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 8250566688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16059526560).

8250566688 is an abundant number, since it is smaller than the sum of its proper divisors (23868486432).

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

8250566688 is a wasteful number, since it uses less digits than its factorization.

8250566688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The square root of 8250566688 is about 90832.6300841278. The cubic root of 8250566688 is about 2020.6662743473. Note that the first 3 decimals are identical.

It can be divided in two parts, 825056 and 6688, that added together give a square (831744 = 912²).

The spelling of 8250566688 in words is "eight billion, two hundred fifty million, five hundred sixty-six thousand, six hundred eighty-eight".