9967081640 has 32 divisors (see below), whose sum is σ = 23745107880. Its totient is φ = 3752312832.

The previous prime is 9967081639. The next prime is 9967081651. The reversal of 9967081640 is 461807699.

It can be written as a sum of positive squares in 4 ways, for example, as 9665642596 + 301439044 = 98314^2 + 17362^2 .

It is an unprimeable number.

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, 7328057 + ... + 7329416.

Almost surely, 2^9967081640 is an apocalyptic number.

It is an amenable number.

9967081640 is an abundant number, since it is smaller than the sum of its proper divisors (13778026240).

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

9967081640 is a wasteful number, since it uses less digits than its factorization.

9967081640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14657501 (or 14657497 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 9967081640 is about 99835.2725242937. The cubic root of 9967081640 is about 2152.0680760700.

The spelling of 9967081640 in words is "nine billion, nine hundred sixty-seven million, eighty-one thousand, six hundred forty".