9952727680 has 256 divisors, whose sum is σ = 28260691200. Its totient is φ = 3280601088.

The previous prime is 9952727627. The next prime is 9952727699. The reversal of 9952727680 is 867272599.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16078411 + ... + 16079029.

It is an arithmetic number, because the mean of its divisors is an integer number (110393325).

Almost surely, 2^9952727680 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 9952727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14130345600).

9952727680 is an abundant number, since it is smaller than the sum of its proper divisors (18307963520).

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

9952727680 is a wasteful number, since it uses less digits than its factorization.

9952727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The square root of 9952727680 is about 99763.3584037747. The cubic root of 9952727680 is about 2151.0344890076.

The spelling of 9952727680 in words is "nine billion, nine hundred fifty-two million, seven hundred twenty-seven thousand, six hundred eighty".