68121684288 has 560 divisors, whose sum is σ = 238545014400. Its totient is φ = 18818666496.

The previous prime is 68121684217. The next prime is 68121684307. The reversal of 68121684288 is 88248612186.

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

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 232497070 + ... + 232497362.

It is an arithmetic number, because the mean of its divisors is an integer number (425973240).

Almost surely, 2^68121684288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68121684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119272507200).

68121684288 is an abundant number, since it is smaller than the sum of its proper divisors (170423330112).

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

68121684288 is a wasteful number, since it uses less digits than its factorization.

68121684288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 68121684288 in words is "sixty-eight billion, one hundred twenty-one million, six hundred eighty-four thousand, two hundred eighty-eight".