68085536904 has 320 divisors, whose sum is σ = 241120281600. Its totient is φ = 17434569600.

The previous prime is 68085536887. The next prime is 68085536929. The reversal of 68085536904 is 40963558086.

It is a happy number.

68085536904 is a `hidden beast` number, since 6 + 80 + 8 + 553 + 6 + 9 + 0 + 4 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 3533007 + ... + 3552225.

It is an arithmetic number, because the mean of its divisors is an integer number (753500880).

Almost surely, 2^68085536904 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 68085536904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120560140800).

68085536904 is an abundant number, since it is smaller than the sum of its proper divisors (173034744696).

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

68085536904 is a wasteful number, since it uses less digits than its factorization.

68085536904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19326 (or 19313 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 68085536904 in words is "sixty-eight billion, eighty-five million, five hundred thirty-six thousand, nine hundred four".