9564616650960 has 960 divisors, whose sum is σ = 39260714867712. Its totient is φ = 2036966621184.

The previous prime is 9564616650949. The next prime is 9564616650983. The reversal of 9564616650960 is 690566164659.

It is a happy number.

9564616650960 is a `hidden beast` number, since 9 + 5 + 6 + 4 + 6 + 1 + 66 + 509 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5364338229 + ... + 5364340011.

Almost surely, 2^{9564616650960} is an apocalyptic number.

9564616650960 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 9564616650960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19630357433856).

9564616650960 is an abundant number, since it is smaller than the sum of its proper divisors (29696098216752).

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

9564616650960 is a wasteful number, since it uses less digits than its factorization.

9564616650960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 9564616650960 in words is "nine trillion, five hundred sixty-four billion, six hundred sixteen million, six hundred fifty thousand, nine hundred sixty".