68218394400 has 720 divisors, whose sum is σ = 273775227264. Its totient is φ = 16425400320.

The previous prime is 68218394389. The next prime is 68218394429. The reversal of 68218394400 is 449381286.

It is a happy number.

68218394400 is a `hidden beast` number, since 6 + 8 + 218 + 394 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39591939 + ... + 39593661.

Almost surely, 2^68218394400 is an apocalyptic number.

68218394400 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 68218394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136887613632).

68218394400 is an abundant number, since it is smaller than the sum of its proper divisors (205556832864).

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

68218394400 is a wasteful number, since it uses less digits than its factorization.

68218394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 68218394400 in words is "sixty-eight billion, two hundred eighteen million, three hundred ninety-four thousand, four hundred".