32563372800000 has 1152 divisors, whose sum is σ = 125749401523200. Its totient is φ = 7338885120000.

The previous prime is 32563372799977. The next prime is 32563372800011. The reversal of 32563372800000 is 827336523.

It is a super-3 number, since 3×32563372800000³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9811198341 + ... + 9811201659.

It is an arithmetic number, because the mean of its divisors is an integer number (109157466600).

Almost surely, 2^{32563372800000} is an apocalyptic number.

32563372800000 is a gapful number since it is divisible by the number (30) 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 32563372800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62874700761600).

32563372800000 is an abundant number, since it is smaller than the sum of its proper divisors (93186028723200).

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

32563372800000 is an frugal number, since it uses more digits than its factorization.

32563372800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 32563372800000 in words is "thirty-two trillion, five hundred sixty-three billion, three hundred seventy-two million, eight hundred thousand".