9916304640 has 576 divisors, whose sum is σ = 36874414080. Its totient is φ = 2247393280.

The previous prime is 9916304633. The next prime is 9916304647. The reversal of 9916304640 is 464036199.

It is an interprime number because it is at equal distance from previous prime (9916304633) and next prime (9916304647).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9916304592 and 9916304601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9916304647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57319594 + ... + 57319766.

It is an arithmetic number, because the mean of its divisors is an integer number (64018080).

Almost surely, 2^9916304640 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 9916304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437207040).

9916304640 is an abundant number, since it is smaller than the sum of its proper divisors (26958109440).

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

9916304640 is a wasteful number, since it uses less digits than its factorization.

9916304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 9916304640 is about 99580.6439023167. The cubic root of 9916304640 is about 2148.4073035833.

The spelling of 9916304640 in words is "nine billion, nine hundred sixteen million, three hundred four thousand, six hundred forty".