9824427648 has 96 divisors (see below), whose sum is σ = 32309528160. Its totient is φ = 2806977024.

The previous prime is 9824427637. The next prime is 9824427677. The reversal of 9824427648 is 8467244289.

9824427648 is a `hidden beast` number, since 98 + 2 + 442 + 76 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9824427648² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9824427594 and 9824427603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601090 + ... + 617217.

It is an arithmetic number, because the mean of its divisors is an integer number (336557585).

Almost surely, 2^9824427648 is an apocalyptic number.

It is an amenable number.

9824427648 is an abundant number, since it is smaller than the sum of its proper divisors (22485100512).

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

9824427648 is a wasteful number, since it uses less digits than its factorization.

9824427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218334 (or 1218319 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 9824427648 is about 99118.2508320239. The cubic root of 9824427648 is about 2141.7515319343.

The spelling of 9824427648 in words is "nine billion, eight hundred twenty-four million, four hundred twenty-seven thousand, six hundred forty-eight".