9644811264 has 495 divisors, whose sum is σ = 32711774403. Its totient is φ = 2828390400.

The previous prime is 9644811251. The next prime is 9644811277. The reversal of 9644811264 is 4621184469.

The square root of 9644811264 is 98208.

It is a perfect power (a square), and thus also a powerful number.

9644811264 is a `hidden beast` number, since 96 + 448 + 112 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9644811251) and next prime (9644811277).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 311122929 + ... + 311122959.

Almost surely, 2^9644811264 is an apocalyptic number.

9644811264 is the 98208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9644811264

9644811264 is an abundant number, since it is smaller than the sum of its proper divisors (23066963139).

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

9644811264 is a wasteful number, since it uses less digits than its factorization.

9644811264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 47 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The cubic root of 9644811264 is about 2128.6188864549.

The spelling of 9644811264 in words is "nine billion, six hundred forty-four million, eight hundred eleven thousand, two hundred sixty-four".