9942856560 has 960 divisors, whose sum is σ = 44413824000. Its totient is φ = 1975228416.

The previous prime is 9942856559. The next prime is 9942856571. The reversal of 9942856560 is 656582499.

It is a happy number.

9942856560 is a `hidden beast` number, since 9 + 9 + 4 + 28 + 56 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9942856497 and 9942856506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60999039 + ... + 60999201.

It is an arithmetic number, because the mean of its divisors is an integer number (46264400).

Almost surely, 2^9942856560 is an apocalyptic number.

9942856560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9942856560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22206912000).

9942856560 is an abundant number, since it is smaller than the sum of its proper divisors (34470967440).

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

9942856560 is a wasteful number, since it uses less digits than its factorization.

9942856560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 9942856560 is about 99713.8734580098. The cubic root of 9942856560 is about 2150.3231214378.

The spelling of 9942856560 in words is "nine billion, nine hundred forty-two million, eight hundred fifty-six thousand, five hundred sixty".