9927680224 has 144 divisors (see below), whose sum is σ = 24719524704. Its totient is φ = 3841643520.

The previous prime is 9927680221. The next prime is 9927680239. The reversal of 9927680224 is 4220867299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9927680221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4254162 + ... + 4256494.

It is an arithmetic number, because the mean of its divisors is an integer number (171663366).

Almost surely, 2^9927680224 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 9927680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359762352).

9927680224 is an abundant number, since it is smaller than the sum of its proper divisors (14791844480).

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

9927680224 is a wasteful number, since it uses less digits than its factorization.

9927680224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 9927680224 is about 99637.7449764897. The cubic root of 9927680224 is about 2149.2285116608.

The spelling of 9927680224 in words is "nine billion, nine hundred twenty-seven million, six hundred eighty thousand, two hundred twenty-four".