9948466560 has 128 divisors (see below), whose sum is σ = 31747622400. Its totient is φ = 2649839616.

The previous prime is 9948466477. The next prime is 9948466571. The reversal of 9948466560 is 656648499.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 9948466560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1992387 + ... + 1997373.

It is an arithmetic number, because the mean of its divisors is an integer number (248028300).

Almost surely, 2^9948466560 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 9948466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873811200).

9948466560 is an abundant number, since it is smaller than the sum of its proper divisors (21799155840).

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

9948466560 is a wasteful number, since it uses less digits than its factorization.

9948466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The square root of 9948466560 is about 99741.9999799483. Note that the first 4 decimals coincide. The cubic root of 9948466560 is about 2150.7274668270.

The spelling of 9948466560 in words is "nine billion, nine hundred forty-eight million, four hundred sixty-six thousand, five hundred sixty".