9605342880 has 576 divisors, whose sum is σ = 40220893440. Its totient is φ = 2118057984.

The previous prime is 9605342863. The next prime is 9605342891. The reversal of 9605342880 is 882435069.

9605342880 is a `hidden beast` number, since 9 + 605 + 34 + 2 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×9605342880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7892032 + ... + 7893248.

It is an arithmetic number, because the mean of its divisors is an integer number (69827940).

Almost surely, 2^9605342880 is an apocalyptic number.

9605342880 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 9605342880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110446720).

9605342880 is an abundant number, since it is smaller than the sum of its proper divisors (30615550560).

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

9605342880 is a wasteful number, since it uses less digits than its factorization.

9605342880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9605342880 is about 98006.8511890878. The cubic root of 9605342880 is about 2125.7113469931.

The spelling of 9605342880 in words is "nine billion, six hundred five million, three hundred forty-two thousand, eight hundred eighty".