68268144000 has 512 divisors, whose sum is σ = 260193024000. Its totient is φ = 15510528000.

The previous prime is 68268143969. The next prime is 68268144023. The reversal of 68268144000 is 44186286.

It is a self number, because there is not a number n which added to its sum of digits gives 68268144000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66863490 + ... + 66864510.

It is an arithmetic number, because the mean of its divisors is an integer number (508189500).

Almost surely, 2^68268144000 is an apocalyptic number.

68268144000 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 68268144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130096512000).

68268144000 is an abundant number, since it is smaller than the sum of its proper divisors (191924880000).

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

68268144000 is a wasteful number, since it uses less digits than its factorization.

68268144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 68268144000 in words is "sixty-eight billion, two hundred sixty-eight million, one hundred forty-four thousand".