9664987288320 has 2016 divisors, whose sum is σ = 43730152553472. Its totient is φ = 1991030243328.

The previous prime is 9664987288303. The next prime is 9664987288361. The reversal of 9664987288320 is 238827894669.

9664987288320 is a `hidden beast` number, since 9 + 66 + 498 + 72 + 8 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3651297237 + ... + 3651299883.

Almost surely, 2^{9664987288320} is an apocalyptic number.

9664987288320 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 9664987288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21865076276736).

9664987288320 is an abundant number, since it is smaller than the sum of its proper divisors (34065165265152).

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

9664987288320 is a wasteful number, since it uses less digits than its factorization.

9664987288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 9664987288320 in words is "nine trillion, six hundred sixty-four billion, nine hundred eighty-seven million, two hundred eighty-eight thousand, three hundred twenty".