8948427264 has 640 divisors, whose sum is σ = 33102643200. Its totient is φ = 2329067520.

The previous prime is 8948427263. The next prime is 8948427287. The reversal of 8948427264 is 4627248498.

8948427264 is a `hidden beast` number, since 89 + 484 + 27 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8948427264.

It is not an unprimeable number, because it can be changed into a prime (8948427263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56996274 + ... + 56996430.

It is an arithmetic number, because the mean of its divisors is an integer number (51722880).

Almost surely, 2^8948427264 is an apocalyptic number.

8948427264 is a gapful number since it is divisible by the number (84) 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 8948427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16551321600).

8948427264 is an abundant number, since it is smaller than the sum of its proper divisors (24154215936).

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

8948427264 is a wasteful number, since it uses less digits than its factorization.

8948427264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 8948427264 is about 94596.1271088833. The cubic root of 8948427264 is about 2076.1030387563.

The spelling of 8948427264 in words is "eight billion, nine hundred forty-eight million, four hundred twenty-seven thousand, two hundred sixty-four".