68190791760 has 1440 divisors, whose sum is σ = 315257322240. Its totient is φ = 13190584320.

The previous prime is 68190791749. The next prime is 68190791783. The reversal of 68190791760 is 6719709186.

68190791760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 68190791697 and 68190791706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2199702945 + ... + 2199702975.

It is an arithmetic number, because the mean of its divisors is an integer number (218928696).

Almost surely, 2^68190791760 is an apocalyptic number.

68190791760 is a gapful number since it is divisible by the number (60) 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 68190791760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157628661120).

68190791760 is an abundant number, since it is smaller than the sum of its proper divisors (247066530480).

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

68190791760 is a wasteful number, since it uses less digits than its factorization.

68190791760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 68190791760 in words is "sixty-eight billion, one hundred ninety million, seven hundred ninety-one thousand, seven hundred sixty".