9916530624 has 1008 divisors, whose sum is σ = 40606675200. Its totient is φ = 2377589760.

The previous prime is 9916530623. The next prime is 9916530649. The reversal of 9916530624 is 4260356199.

9916530624 is a `hidden beast` number, since 9 + 9 + 16 + 5 + 3 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 9916530624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9916530623) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 762810042 + ... + 762810054.

It is an arithmetic number, because the mean of its divisors is an integer number (40284400).

Almost surely, 2^9916530624 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 9916530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303337600).

9916530624 is an abundant number, since it is smaller than the sum of its proper divisors (30690144576).

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

9916530624 is a wasteful number, since it uses less digits than its factorization.

9916530624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9916530624 is about 99581.7785741950. The cubic root of 9916530624 is about 2148.4236235737.

The spelling of 9916530624 in words is "nine billion, nine hundred sixteen million, five hundred thirty thousand, six hundred twenty-four".