68137888896 has 768 divisors, whose sum is σ = 256628736000. Its totient is φ = 16837632000.

The previous prime is 68137888883. The next prime is 68137888961. The reversal of 68137888896 is 69888873186.

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

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 195237330 + ... + 195237678.

It is an arithmetic number, because the mean of its divisors is an integer number (334152000).

Almost surely, 2^68137888896 is an apocalyptic number.

68137888896 is a gapful number since it is divisible by the number (66) 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 68137888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128314368000).

68137888896 is an abundant number, since it is smaller than the sum of its proper divisors (188490847104).

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

68137888896 is a wasteful number, since it uses less digits than its factorization.

68137888896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 72.

The spelling of 68137888896 in words is "sixty-eight billion, one hundred thirty-seven million, eight hundred eighty-eight thousand, eight hundred ninety-six".