8226664320 has 256 divisors, whose sum is σ = 31003430400. Its totient is φ = 1815453696.

The previous prime is 8226664283. The next prime is 8226664333. The reversal of 8226664320 is 234666228.

It is a super-2 number, since 2×8226664320² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 379207 + ... + 400313.

It is an arithmetic number, because the mean of its divisors is an integer number (121107150).

Almost surely, 2^8226664320 is an apocalyptic number.

8226664320 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 8226664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501715200).

8226664320 is an abundant number, since it is smaller than the sum of its proper divisors (22776766080).

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

8226664320 is a wasteful number, since it uses less digits than its factorization.

8226664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21165 (or 21153 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 8226664320 is about 90700.9609651408. The cubic root of 8226664320 is about 2018.7130579878.

The spelling of 8226664320 in words is "eight billion, two hundred twenty-six million, six hundred sixty-four thousand, three hundred twenty".