8229418560 has 448 divisors, whose sum is σ = 32091782400. Its totient is φ = 1993144320.

The previous prime is 8229418541. The next prime is 8229418591. The reversal of 8229418560 is 658149228.

8229418560 is a `hidden beast` number, since 8 + 229 + 418 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7697706 + ... + 7698774.

Almost surely, 2^8229418560 is an apocalyptic number.

8229418560 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 8229418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045891200).

8229418560 is an abundant number, since it is smaller than the sum of its proper divisors (23862363840).

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

8229418560 is a wasteful number, since it uses less digits than its factorization.

8229418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8229418560 is about 90716.1427751423. The cubic root of 8229418560 is about 2018.9383173665.

The spelling of 8229418560 in words is "eight billion, two hundred twenty-nine million, four hundred eighteen thousand, five hundred sixty".