9093427840 has 384 divisors, whose sum is σ = 27559057680. Its totient is φ = 2848849920.

The previous prime is 9093427829. The next prime is 9093427909. The reversal of 9093427840 is 487243909.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6421778496 + 2671649344 = 80136^2 + 51688^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19725210 + ... + 19725670.

Almost surely, 2^9093427840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9093427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13779528840).

9093427840 is an abundant number, since it is smaller than the sum of its proper divisors (18465629840).

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

9093427840 is a wasteful number, since it uses less digits than its factorization.

9093427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 9093427840 is about 95359.4664414603. The cubic root of 9093427840 is about 2087.2567536138.

The spelling of 9093427840 in words is "nine billion, ninety-three million, four hundred twenty-seven thousand, eight hundred forty".