68188142400 has 1344 divisors, whose sum is σ = 292444139520. Its totient is φ = 13536460800.

The previous prime is 68188142353. The next prime is 68188142431. The reversal of 68188142400 is 424188186.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 662020749 + ... + 662020851.

Almost surely, 2^68188142400 is an apocalyptic number.

68188142400 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 68188142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146222069760).

68188142400 is an abundant number, since it is smaller than the sum of its proper divisors (224255997120).

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

68188142400 is a wasteful number, since it uses less digits than its factorization.

68188142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 68188142400 in words is "sixty-eight billion, one hundred eighty-eight million, one hundred forty-two thousand, four hundred".