68223128400 has 720 divisors, whose sum is σ = 288543924864. Its totient is φ = 14571601920.

The previous prime is 68223128377. The next prime is 68223128453. The reversal of 68223128400 is 482132286.

68223128400 is a `hidden beast` number, since 6 + 8 + 223 + 1 + 28 + 400 = 666.

68223128400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69828712 + ... + 69829688.

Almost surely, 2^68223128400 is an apocalyptic number.

68223128400 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 68223128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144271962432).

68223128400 is an abundant number, since it is smaller than the sum of its proper divisors (220320796464).

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

68223128400 is a wasteful number, since it uses less digits than its factorization.

68223128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 68223128400 in words is "sixty-eight billion, two hundred twenty-three million, one hundred twenty-eight thousand, four hundred".