68173410400 has 72 divisors (see below), whose sum is σ = 167042996064. Its totient is φ = 27168652800.

The previous prime is 68173410397. The next prime is 68173410419. The reversal of 68173410400 is 401437186.

It is a happy number.

It is a super-3 number, since 3×68173410400³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59574 + ... + 374026.

It is an arithmetic number, because the mean of its divisors is an integer number (2320041612).

Almost surely, 2^68173410400 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 68173410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83521498032).

68173410400 is an abundant number, since it is smaller than the sum of its proper divisors (98869585664).

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

68173410400 is a wasteful number, since it uses less digits than its factorization.

68173410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314744 (or 314731 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 68173410400 its reverse (401437186), we get a palindrome (68574847586).

The spelling of 68173410400 in words is "sixty-eight billion, one hundred seventy-three million, four hundred ten thousand, four hundred".