8764640640 has 768 divisors, whose sum is σ = 36676523520. Its totient is φ = 1958805504.

The previous prime is 8764640617. The next prime is 8764640641. The reversal of 8764640640 is 460464678.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8764640641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90357072 + ... + 90357168.

It is an arithmetic number, because the mean of its divisors is an integer number (47755890).

Almost surely, 2^8764640640 is an apocalyptic number.

8764640640 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 8764640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338261760).

8764640640 is an abundant number, since it is smaller than the sum of its proper divisors (27911882880).

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

8764640640 is an equidigital number, since it uses as much as digits as its factorization.

8764640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 8764640640 is about 93619.6594738520. The cubic root of 8764640640 is about 2061.7913095744.

The spelling of 8764640640 in words is "eight billion, seven hundred sixty-four million, six hundred forty thousand, six hundred forty".