68378360820 has 288 divisors, whose sum is σ = 242370551808. Its totient is φ = 14098656000.

The previous prime is 68378360797. The next prime is 68378360839. The reversal of 68378360820 is 2806387386.

It is a super-2 number, since 2×68378360820² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6652285 + ... + 6662555.

It is an arithmetic number, because the mean of its divisors is an integer number (841564416).

Almost surely, 2^68378360820 is an apocalyptic number.

68378360820 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 68378360820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121185275904).

68378360820 is an abundant number, since it is smaller than the sum of its proper divisors (173992190988).

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

68378360820 is a wasteful number, since it uses less digits than its factorization.

68378360820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10443 (or 10430 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 68378360820 in words is "sixty-eight billion, three hundred seventy-eight million, three hundred sixty thousand, eight hundred twenty".