9314000640 has 432 divisors, whose sum is σ = 38773862400. Its totient is φ = 2016534528.

The previous prime is 9314000609. The next prime is 9314000687. The reversal of 9314000640 is 460004139.

9314000640 is a `hidden beast` number, since 9 + 3 + 14 + 0 + 0 + 0 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1529121 + ... + 1535199.

Almost surely, 2^9314000640 is an apocalyptic number.

9314000640 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 9314000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386931200).

9314000640 is an abundant number, since it is smaller than the sum of its proper divisors (29459861760).

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

9314000640 is a wasteful number, since it uses less digits than its factorization.

9314000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9314000640 is about 96509.0702473089. The cubic root of 9314000640 is about 2103.9984771587.

Adding to 9314000640 its reverse (460004139), we get a palindrome (9774004779).

The spelling of 9314000640 in words is "nine billion, three hundred fourteen million, six hundred forty", and thus it is an aban number.