68397136786800 has 480 divisors, whose sum is σ = 244186801848000. Its totient is φ = 18183589724160.

The previous prime is 68397136786789. The next prime is 68397136786817. The reversal of 68397136786800 is 868763179386.

68397136786800 is a `hidden beast` number, since 68 + 397 + 1 + 36 + 78 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 6657946464 + ... + 6657956736.

It is an arithmetic number, because the mean of its divisors is an integer number (508722503850).

Almost surely, 2^{68397136786800} is an apocalyptic number.

68397136786800 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 68397136786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122093400924000).

68397136786800 is an abundant number, since it is smaller than the sum of its proper divisors (175789665061200).

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

68397136786800 is a wasteful number, since it uses less digits than its factorization.

68397136786800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12122 (or 12105 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 68397136786800 in words is "sixty-eight trillion, three hundred ninety-seven billion, one hundred thirty-six million, seven hundred eighty-six thousand, eight hundred".