8226385920 has 728 divisors, whose sum is σ = 32229946800. Its totient is φ = 2006581248.

The previous prime is 8226385907. The next prime is 8226385933. The reversal of 8226385920 is 295836228.

It is a happy number.

8226385920 is a `hidden beast` number, since 8 + 2 + 2 + 638 + 5 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8226385907) and next prime (8226385933).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 283668466 + ... + 283668494.

Almost surely, 2^8226385920 is an apocalyptic number.

8226385920 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 8226385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114973400).

8226385920 is an abundant number, since it is smaller than the sum of its proper divisors (24003560880).

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

8226385920 is an equidigital number, since it uses as much as digits as its factorization.

8226385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8226385920 is about 90699.4262385380. The cubic root of 8226385920 is about 2018.6902858559.

The spelling of 8226385920 in words is "eight billion, two hundred twenty-six million, three hundred eighty-five thousand, nine hundred twenty".