68208552303840 has 1152 divisors, whose sum is σ = 269319102474240. Its totient is φ = 16186436001792.

The previous prime is 68208552303803. The next prime is 68208552303841. The reversal of 68208552303840 is 4830325580286.

It is a happy number.

68208552303840 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 8 + 552 + 3 + 0 + 3 + 84 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68208552303841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10890712549 + ... + 10890718811.

It is an arithmetic number, because the mean of its divisors is an integer number (233783943120).

Almost surely, 2^{68208552303840} is an apocalyptic number.

68208552303840 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 68208552303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134659551237120).

68208552303840 is an abundant number, since it is smaller than the sum of its proper divisors (201110550170400).

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

68208552303840 is a wasteful number, since it uses less digits than its factorization.

68208552303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 68208552303840 in words is "sixty-eight trillion, two hundred eight billion, five hundred fifty-two million, three hundred three thousand, eight hundred forty".