68605328032128 has 256 divisors, whose sum is σ = 203733708192000. Its totient is φ = 22727361024000.

The previous prime is 68605328032123. The next prime is 68605328032169. The reversal of 68605328032128 is 82123082350686.

It is a happy number.

68605328032128 is a `hidden beast` number, since 6 + 8 + 6 + 0 + 532 + 80 + 3 + 2 + 1 + 28 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68605328032123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 396340863 + ... + 396513921.

It is an arithmetic number, because the mean of its divisors is an integer number (795834797625).

Almost surely, 2^{68605328032128} 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 68605328032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101866854096000).

68605328032128 is an abundant number, since it is smaller than the sum of its proper divisors (135128380159872).

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

68605328032128 is a wasteful number, since it uses less digits than its factorization.

68605328032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173790 (or 173772 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 68605328032128 in words is "sixty-eight trillion, six hundred five billion, three hundred twenty-eight million, thirty-two thousand, one hundred twenty-eight".