9564662016 has 648 divisors, whose sum is σ = 36471664320. Its totient is φ = 2389782528.

The previous prime is 9564661993. The next prime is 9564662017. The reversal of 9564662016 is 6102664659.

9564662016 is a `hidden beast` number, since 9 + 5 + 6 + 4 + 6 + 620 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (9564662017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 503403255 + ... + 503403273.

Almost surely, 2^9564662016 is an apocalyptic number.

9564662016 is a gapful number since it is divisible by the number (96) 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 9564662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18235832160).

9564662016 is an abundant number, since it is smaller than the sum of its proper divisors (26907002304).

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

9564662016 is an equidigital number, since it uses as much as digits as its factorization.

9564662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9564662016 is about 97799.0900571166. The cubic root of 9564662016 is about 2122.7061395430.

The spelling of 9564662016 in words is "nine billion, five hundred sixty-four million, six hundred sixty-two thousand, sixteen".