9664928516880 has 1920 divisors, whose sum is σ = 43027996032000. Its totient is φ = 1981373571072.

The previous prime is 9664928516879. The next prime is 9664928516899. The reversal of 9664928516880 is 886158294669.

9664928516880 is a `hidden beast` number, since 9 + 6 + 6 + 4 + 9 + 28 + 516 + 8 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9664928516799 and 9664928516808.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13185440994 + ... + 13185441726.

It is an arithmetic number, because the mean of its divisors is an integer number (22410414600).

Almost surely, 2^{9664928516880} is an apocalyptic number.

9664928516880 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 9664928516880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21513998016000).

9664928516880 is an abundant number, since it is smaller than the sum of its proper divisors (33363067515120).

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

9664928516880 is a wasteful number, since it uses less digits than its factorization.

9664928516880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 9664928516880 in words is "nine trillion, six hundred sixty-four billion, nine hundred twenty-eight million, five hundred sixteen thousand, eight hundred eighty".