652475728800 has 864 divisors, whose sum is σ = 2693752588800. Its totient is φ = 148548556800.

The previous prime is 652475728759. The next prime is 652475728819. The reversal of 652475728800 is 8827574256.

652475728800 is a `hidden beast` number, since 65 + 2 + 4 + 7 + 572 + 8 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×652475728800³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1064397294 + ... + 1064397906.

It is an arithmetic number, because the mean of its divisors is an integer number (3117769200).

Almost surely, 2^652475728800 is an apocalyptic number.

652475728800 is a gapful number since it is divisible by the number (60) 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 652475728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346876294400).

652475728800 is an abundant number, since it is smaller than the sum of its proper divisors (2041276860000).

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

652475728800 is a wasteful number, since it uses less digits than its factorization.

652475728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 652475728800 in words is "six hundred fifty-two billion, four hundred seventy-five million, seven hundred twenty-eight thousand, eight hundred".