8961327944960 has 72 divisors (see below), whose sum is σ = 21466468572360. Its totient is φ = 3584316137472.

The previous prime is 8961327944927. The next prime is 8961327944999. The reversal of 8961327944960 is 694497231698.

It can be written as a sum of positive squares in 4 ways, for example, as 431470314496 + 8529857630464 = 656864^2 + 2920592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22056614 + ... + 22459226.

Almost surely, 2^{8961327944960} is an apocalyptic number.

8961327944960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8961327944960 is an abundant number, since it is smaller than the sum of its proper divisors (12505140627400).

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

8961327944960 is a wasteful number, since it uses less digits than its factorization.

8961327944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420023 (or 420009 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 68.

The spelling of 8961327944960 in words is "eight trillion, nine hundred sixty-one billion, three hundred twenty-seven million, nine hundred forty-four thousand, nine hundred sixty".