9824966400 has 432 divisors, whose sum is σ = 35475729408. Its totient is φ = 2383872000.

The previous prime is 9824966399. The next prime is 9824966441. The reversal of 9824966400 is 46694289.

It is a super-2 number, since 2×9824966400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9824966400.

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, 10117915 + ... + 10118885.

It is an arithmetic number, because the mean of its divisors is an integer number (82119744).

Almost surely, 2^9824966400 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 9824966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17737864704).

9824966400 is an abundant number, since it is smaller than the sum of its proper divisors (25650763008).

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

9824966400 is a wasteful number, since it uses less digits than its factorization.

9824966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 9824966400 is about 99120.9685182706. The cubic root of 9824966400 is about 2141.7906810115.

The spelling of 9824966400 in words is "nine billion, eight hundred twenty-four million, nine hundred sixty-six thousand, four hundred".