32827307984352 has 576 divisors, whose sum is σ = 113795974656000. Its totient is φ = 8768230539264.

The previous prime is 32827307984299. The next prime is 32827307984389. The reversal of 32827307984352 is 25348970372823.

32827307984352 is a `hidden beast` number, since 3 + 2 + 8 + 273 + 0 + 7 + 9 + 8 + 4 + 352 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32827307984352.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 991176049 + ... + 991209167.

It is an arithmetic number, because the mean of its divisors is an integer number (197562456000).

Almost surely, 2^{32827307984352} is an apocalyptic number.

32827307984352 is a gapful number since it is divisible by the number (32) 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 32827307984352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56897987328000).

32827307984352 is an abundant number, since it is smaller than the sum of its proper divisors (80968666671648).

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

32827307984352 is a wasteful number, since it uses less digits than its factorization.

32827307984352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33503 (or 33492 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 32827307984352 in words is "thirty-two trillion, eight hundred twenty-seven billion, three hundred seven million, nine hundred eighty-four thousand, three hundred fifty-two".