68728207104 has 648 divisors, whose sum is σ = 228104145360. Its totient is φ = 20567457792.

The previous prime is 68728207103. The next prime is 68728207111. The reversal of 68728207104 is 40170282786.

It is a tau number, because it is divible by the number of its divisors (648).

It is a self number, because there is not a number n which added to its sum of digits gives 68728207104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68728207103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 828050647 + ... + 828050729.

It is an arithmetic number, because the mean of its divisors is an integer number (352012570).

Almost surely, 2^68728207104 is an apocalyptic number.

68728207104 is a gapful number since it is divisible by the number (64) 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 68728207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114052072680).

68728207104 is an abundant number, since it is smaller than the sum of its proper divisors (159375938256).

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

68728207104 is an frugal number, since it uses more digits than its factorization.

68728207104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 68728207104 in words is "sixty-eight billion, seven hundred twenty-eight million, two hundred seven thousand, one hundred four".