8225963904 has 64 divisors (see below), whose sum is σ = 21877482240. Its totient is φ = 2738566656.

The previous prime is 8225963899. The next prime is 8225963939. The reversal of 8225963904 is 4093695228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 304617 + ... + 330519.

It is an arithmetic number, because the mean of its divisors is an integer number (341835660).

Almost surely, 2^8225963904 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 8225963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938741120).

8225963904 is an abundant number, since it is smaller than the sum of its proper divisors (13651518336).

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

8225963904 is a wasteful number, since it uses less digits than its factorization.

8225963904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26747 (or 26735 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 8225963904 is about 90697.0997551741. The cubic root of 8225963904 is about 2018.6557654652.

The spelling of 8225963904 in words is "eight billion, two hundred twenty-five million, nine hundred sixty-three thousand, nine hundred four".