32068684442880 has 360 divisors, whose sum is σ = 114775049166624. Its totient is φ = 8549604864000.

The previous prime is 32068684442869. The next prime is 32068684442909. The reversal of 32068684442880 is 8824448686023.

32068684442880 is a `hidden beast` number, since 32 + 0 + 6 + 8 + 6 + 84 + 442 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 461444935 + ... + 461514425.

Almost surely, 2^{32068684442880} is an apocalyptic number.

32068684442880 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 32068684442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57387524583312).

32068684442880 is an abundant number, since it is smaller than the sum of its proper divisors (82706364723744).

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

32068684442880 is an equidigital number, since it uses as much as digits as its factorization.

32068684442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73975 (or 73952 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 63.

The spelling of 32068684442880 in words is "thirty-two trillion, sixty-eight billion, six hundred eighty-four million, four hundred forty-two thousand, eight hundred eighty".