9662649984 has 192 divisors, whose sum is σ = 30037480200. Its totient is φ = 2963865600.

The previous prime is 9662649961. The next prime is 9662650021. The reversal of 9662649984 is 4899462669.

9662649984 is a `hidden beast` number, since 9 + 6 + 62 + 6 + 499 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9611841600 + 50808384 = 98040^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6004572 + ... + 6006180.

Almost surely, 2^9662649984 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 9662649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15018740100).

9662649984 is an abundant number, since it is smaller than the sum of its proper divisors (20374830216).

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

9662649984 is a wasteful number, since it uses less digits than its factorization.

9662649984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2028 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The square root of 9662649984 is about 98298.7791582378. The cubic root of 9662649984 is about 2129.9304189397.

The spelling of 9662649984 in words is "nine billion, six hundred sixty-two million, six hundred forty-nine thousand, nine hundred eighty-four".