8964224640 has 480 divisors, whose sum is σ = 37250007300. Its totient is φ = 2048385024.

The previous prime is 8964224623. The next prime is 8964224641. The reversal of 8964224640 is 464224698.

It can be written as a sum of positive squares in 2 ways, for example, as 8138926656 + 825297984 = 90216^2 + 28728^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8964224641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2538396 + ... + 2541924.

Almost surely, 2^8964224640 is an apocalyptic number.

8964224640 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 8964224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18625003650).

8964224640 is an abundant number, since it is smaller than the sum of its proper divisors (28285782660).

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

8964224640 is a wasteful number, since it uses less digits than its factorization.

8964224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 8964224640 is about 94679.5893527216. The cubic root of 8964224640 is about 2077.3240242451.

The spelling of 8964224640 in words is "eight billion, nine hundred sixty-four million, two hundred twenty-four thousand, six hundred forty".