9284336640 has 440 divisors, whose sum is σ = 33907359552. Its totient is φ = 2428600320.

The previous prime is 9284336563. The next prime is 9284336641. The reversal of 9284336640 is 466334829.

9284336640 is a `hidden beast` number, since 9 + 284 + 3 + 366 + 4 + 0 = 666.

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 (9284336641) 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 39 ways as a sum of consecutive naturals, for example, 25297737 + ... + 25298103.

Almost surely, 2^9284336640 is an apocalyptic number.

9284336640 is a gapful number since it is divisible by the number (90) 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 9284336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953679776).

9284336640 is an abundant number, since it is smaller than the sum of its proper divisors (24623022912).

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

9284336640 is a wasteful number, since it uses less digits than its factorization.

9284336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 9284336640 is about 96355.2626481813. The cubic root of 9284336640 is about 2101.7624388152.

The spelling of 9284336640 in words is "nine billion, two hundred eighty-four million, three hundred thirty-six thousand, six hundred forty".