9824774400 has 729 divisors, whose sum is σ = 41564898921. Its totient is φ = 2207600640.

The previous prime is 9824774387. The next prime is 9824774411. The reversal of 9824774400 is 44774289.

The square root of 9824774400 is 99120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3536918784 + 6287855616 = 59472^2 + 79296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 80 ways as a sum of consecutive naturals, for example, 166521571 + ... + 166521629.

Almost surely, 2^9824774400 is an apocalyptic number.

9824774400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9824774400 is the 99120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9824774400

9824774400 is an abundant number, since it is smaller than the sum of its proper divisors (31740124521).

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

9824774400 is a wasteful number, since it uses less digits than its factorization.

9824774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The cubic root of 9824774400 is about 2141.7767292593.

The spelling of 9824774400 in words is "nine billion, eight hundred twenty-four million, seven hundred seventy-four thousand, four hundred".