9827427456 has 960 divisors, whose sum is σ = 40112560800. Its totient is φ = 2275983360.

The previous prime is 9827427443. The next prime is 9827427481. The reversal of 9827427456 is 6547247289.

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 119 ways as a sum of consecutive naturals, for example, 517233015 + ... + 517233033.

Almost surely, 2^9827427456 is an apocalyptic number.

9827427456 is a gapful number since it is divisible by the number (96) 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 9827427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20056280400).

9827427456 is an abundant number, since it is smaller than the sum of its proper divisors (30285133344).

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

9827427456 is a wasteful number, since it uses less digits than its factorization.

9827427456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 9827427456 is about 99133.3821474885. The cubic root of 9827427456 is about 2141.9694984763.

The spelling of 9827427456 in words is "nine billion, eight hundred twenty-seven million, four hundred twenty-seven thousand, four hundred fifty-six".