9827472384 has 264 divisors, whose sum is σ = 30073410432. Its totient is φ = 3084533760.

The previous prime is 9827472377. The next prime is 9827472437. The reversal of 9827472384 is 4832747289.

It is a happy number.

9827472384 is a `hidden beast` number, since 98 + 2 + 7 + 472 + 3 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9827472384.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15049402 + ... + 15050054.

Almost surely, 2^9827472384 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 9827472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036705216).

9827472384 is an abundant number, since it is smaller than the sum of its proper divisors (20245938048).

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

9827472384 is a wasteful number, since it uses less digits than its factorization.

9827472384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 752 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 9827472384 is about 99133.6087510184. The cubic root of 9827472384 is about 2141.9727626150.

The spelling of 9827472384 in words is "nine billion, eight hundred twenty-seven million, four hundred seventy-two thousand, three hundred eighty-four".