9905822784 has 567 divisors, whose sum is σ = 34999993119. Its totient is φ = 2675312640.

The previous prime is 9905822749. The next prime is 9905822807. The reversal of 9905822784 is 4872285099.

The square root of 9905822784 is 99528.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1270209600 + 8635613184 = 35640^2 + 92928^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9905822784.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 341580082 + ... + 341580110.

Almost surely, 2^9905822784 is an apocalyptic number.

9905822784 is the 99528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9905822784

9905822784 is an abundant number, since it is smaller than the sum of its proper divisors (25094170335).

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

9905822784 is a wasteful number, since it uses less digits than its factorization.

9905822784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The cubic root of 9905822784 is about 2147.6500579491.

The spelling of 9905822784 in words is "nine billion, nine hundred five million, eight hundred twenty-two thousand, seven hundred eighty-four".