8226552960 has 384 divisors, whose sum is σ = 31126258800. Its totient is φ = 1992818688.

The previous prime is 8226552941. The next prime is 8226552973. The reversal of 8226552960 is 692556228.

8226552960 is a `hidden beast` number, since 8 + 2 + 2 + 6 + 552 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3039096384 + 5187456576 = 55128^2 + 72024^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2838232 + ... + 2841128.

Almost surely, 2^8226552960 is an apocalyptic number.

8226552960 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 8226552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563129400).

8226552960 is an abundant number, since it is smaller than the sum of its proper divisors (22899705840).

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

8226552960 is a wasteful number, since it uses less digits than its factorization.

8226552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 8226552960 is about 90700.3470776160. The cubic root of 8226552960 is about 2018.7039491967.

The spelling of 8226552960 in words is "eight billion, two hundred twenty-six million, five hundred fifty-two thousand, nine hundred sixty".