9968174530560 has 1024 divisors, whose sum is σ = 38002582598400. Its totient is φ = 2470126288896.

The previous prime is 9968174530547. The next prime is 9968174530571. The reversal of 9968174530560 is 650354718699.

9968174530560 is a `hidden beast` number, since 9 + 9 + 6 + 8 + 17 + 4 + 53 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6241811682 + ... + 6241813278.

Almost surely, 2^{9968174530560} is an apocalyptic number.

9968174530560 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 9968174530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19001291299200).

9968174530560 is an abundant number, since it is smaller than the sum of its proper divisors (28034408067840).

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

9968174530560 is a wasteful number, since it uses less digits than its factorization.

9968174530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 9968174530560 in words is "nine trillion, nine hundred sixty-eight billion, one hundred seventy-four million, five hundred thirty thousand, five hundred sixty".