9628573852800 has 1152 divisors, whose sum is σ = 41059612195200. Its totient is φ = 2197136793600.

The previous prime is 9628573852769. The next prime is 9628573852811. The reversal of 9628573852800 is 82583758269.

9628573852800 is a `hidden beast` number, since 9 + 6 + 2 + 8 + 573 + 8 + 52 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3145563270 + ... + 3145566330.

It is an arithmetic number, because the mean of its divisors is an integer number (35642024475).

Almost surely, 2^{9628573852800} is an apocalyptic number.

9628573852800 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 9628573852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20529806097600).

9628573852800 is an abundant number, since it is smaller than the sum of its proper divisors (31431038342400).

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

9628573852800 is a wasteful number, since it uses less digits than its factorization.

9628573852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 9628573852800 in words is "nine trillion, six hundred twenty-eight billion, five hundred seventy-three million, eight hundred fifty-two thousand, eight hundred".