68340442003200 has 864 divisors, whose sum is σ = 262226307553280. Its totient is φ = 17394551193600.

The previous prime is 68340442003181. The next prime is 68340442003259. The reversal of 68340442003200 is 230024404386.

68340442003200 is a `hidden beast` number, since 6 + 8 + 3 + 4 + 0 + 442 + 0 + 0 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390959019 + ... + 391133781.

Almost surely, 2^{68340442003200} is an apocalyptic number.

68340442003200 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 68340442003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131113153776640).

68340442003200 is an abundant number, since it is smaller than the sum of its proper divisors (193885865550080).

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

68340442003200 is a wasteful number, since it uses less digits than its factorization.

68340442003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174902 (or 174877 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 68340442003200 its reverse (230024404386), we get a palindrome (68570466407586).

The spelling of 68340442003200 in words is "sixty-eight trillion, three hundred forty billion, four hundred forty-two million, three thousand, two hundred".