9793286220960 has 720 divisors, whose sum is σ = 38020710137256. Its totient is φ = 2372198400000.

The previous prime is 9793286220937. The next prime is 9793286220979. The reversal of 9793286220960 is 690226823979.

9793286220960 is a `hidden beast` number, since 9 + 7 + 93 + 286 + 2 + 209 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7494169052304 + 2299117168656 = 2737548^2 + 1516284^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3263339460 + ... + 3263342460.

Almost surely, 2^{9793286220960} is an apocalyptic number.

9793286220960 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 9793286220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19010355068628).

9793286220960 is an abundant number, since it is smaller than the sum of its proper divisors (28227423916296).

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

9793286220960 is a wasteful number, since it uses less digits than its factorization.

9793286220960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 9793286220960 in words is "nine trillion, seven hundred ninety-three billion, two hundred eighty-six million, two hundred twenty thousand, nine hundred sixty".