32068328122368 has 768 divisors, whose sum is σ = 99317868249600. Its totient is φ = 10215161856000.

The previous prime is 32068328122361. The next prime is 32068328122393. The reversal of 32068328122368 is 86322182386023.

32068328122368 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 83 + 281 + 223 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (32068328122361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63754131205 + ... + 63754131707.

It is an arithmetic number, because the mean of its divisors is an integer number (129320140950).

Almost surely, 2^{32068328122368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32068328122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49658934124800).

32068328122368 is an abundant number, since it is smaller than the sum of its proper divisors (67249540127232).

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

32068328122368 is a wasteful number, since it uses less digits than its factorization.

32068328122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 32068328122368 in words is "thirty-two trillion, sixty-eight billion, three hundred twenty-eight million, one hundred twenty-two thousand, three hundred sixty-eight".