8225828064 has 72 divisors (see below), whose sum is σ = 23448107592. Its totient is φ = 2735389440.

The previous prime is 8225828053. The next prime is 8225828071. The reversal of 8225828064 is 4608285228.

8225828064 is a `hidden beast` number, since 8 + 2 + 2 + 582 + 8 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87327 + ... + 155169.

It is an arithmetic number, because the mean of its divisors is an integer number (325668161).

Almost surely, 2^8225828064 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 8225828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11724053796).

8225828064 is an abundant number, since it is smaller than the sum of its proper divisors (15222279528).

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

8225828064 is a wasteful number, since it uses less digits than its factorization.

8225828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68280 (or 68269 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 8225828064 is about 90696.3508857991. The cubic root of 8225828064 is about 2018.6446536687.

The spelling of 8225828064 in words is "eight billion, two hundred twenty-five million, eight hundred twenty-eight thousand, sixty-four".