8824256640 has 960 divisors, whose sum is σ = 36374342400. Its totient is φ = 2030469120.

The previous prime is 8824256593. The next prime is 8824256663. The reversal of 8824256640 is 466524288.

8824256640 is a `hidden beast` number, since 8 + 8 + 2 + 42 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 284653425 + ... + 284653455.

It is an arithmetic number, because the mean of its divisors is an integer number (37889940).

Almost surely, 2^8824256640 is an apocalyptic number.

8824256640 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 8824256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18187171200).

8824256640 is an abundant number, since it is smaller than the sum of its proper divisors (27550085760).

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

8824256640 is a wasteful number, since it uses less digits than its factorization.

8824256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8824256640 is about 93937.5145508971. The cubic root of 8824256640 is about 2066.4554336078.

The spelling of 8824256640 in words is "eight billion, eight hundred twenty-four million, two hundred fifty-six thousand, six hundred forty".