9945662560 has 48 divisors (see below), whose sum is σ = 23503916016. Its totient is φ = 3977031168.

The previous prime is 9945662539. The next prime is 9945662561. The reversal of 9945662560 is 652665499.

It is a junction number, because it is equal to n+sod(n) for n = 9945662498 and 9945662507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945662561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647287 + ... + 662473.

It is an arithmetic number, because the mean of its divisors is an integer number (489664917).

Almost surely, 2^9945662560 is an apocalyptic number.

It is an amenable number.

9945662560 is an abundant number, since it is smaller than the sum of its proper divisors (13558253456).

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

9945662560 is a wasteful number, since it uses less digits than its factorization.

9945662560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19295 (or 19287 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The square root of 9945662560 is about 99727.9427241934. The cubic root of 9945662560 is about 2150.5253852146.

The spelling of 9945662560 in words is "nine billion, nine hundred forty-five million, six hundred sixty-two thousand, five hundred sixty".