9628834505472 has 432 divisors, whose sum is σ = 34187431037760. Its totient is φ = 2538102325248.

The previous prime is 9628834505447. The next prime is 9628834505473. The reversal of 9628834505472 is 2745054388269.

9628834505472 is a `hidden beast` number, since 9 + 6 + 2 + 8 + 8 + 34 + 50 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9628834505473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422880904 + ... + 422903672.

Almost surely, 2^{9628834505472} 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 9628834505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093715518880).

9628834505472 is an abundant number, since it is smaller than the sum of its proper divisors (24558596532288).

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

9628834505472 is a wasteful number, since it uses less digits than its factorization.

9628834505472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24828 (or 24811 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 9628834505472 in words is "nine trillion, six hundred twenty-eight billion, eight hundred thirty-four million, five hundred five thousand, four hundred seventy-two".