68042419200 has 1320 divisors, whose sum is σ = 298608335760. Its totient is φ = 15173222400.

The previous prime is 68042419177. The next prime is 68042419217. The reversal of 68042419200 is 291424086.

68042419200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 1659571180 + ... + 1659571220.

Almost surely, 2^68042419200 is an apocalyptic number.

68042419200 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 68042419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149304167880).

68042419200 is an abundant number, since it is smaller than the sum of its proper divisors (230565916560).

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

68042419200 is an equidigital number, since it uses as much as digits as its factorization.

68042419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 68042419200 in words is "sixty-eight billion, forty-two million, four hundred nineteen thousand, two hundred".