9206047628960 has 576 divisors, whose sum is σ = 28948014537120. Its totient is φ = 2737032560640.

The previous prime is 9206047628959. The next prime is 9206047628983. The reversal of 9206047628960 is 698267406029.

It can be written as a sum of positive squares in 16 ways, for example, as 4074536028304 + 5131511600656 = 2018548^2 + 2265284^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9206047628960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109318070 + ... + 109402250.

Almost surely, 2^{9206047628960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9206047628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14474007268560).

9206047628960 is an abundant number, since it is smaller than the sum of its proper divisors (19741966908160).

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

9206047628960 is a wasteful number, since it uses less digits than its factorization.

9206047628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84289 (or 84274 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 59.

The spelling of 9206047628960 in words is "nine trillion, two hundred six billion, forty-seven million, six hundred twenty-eight thousand, nine hundred sixty".