68293442779200 has 504 divisors, whose sum is σ = 259841138269440. Its totient is φ = 17624111155200.

The previous prime is 68293442779189. The next prime is 68293442779207. The reversal of 68293442779200 is 297724439286.

68293442779200 is a `hidden beast` number, since 6 + 82 + 9 + 344 + 2 + 7 + 7 + 9 + 200 = 666.

It is not an unprimeable number, because it can be changed into a prime (68293442779207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9219706 + ... + 14885894.

Almost surely, 2^{68293442779200} is an apocalyptic number.

68293442779200 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 68293442779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129920569134720).

68293442779200 is an abundant number, since it is smaller than the sum of its proper divisors (191547695490240).

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

68293442779200 is a wasteful number, since it uses less digits than its factorization.

68293442779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666257 (or 5666230 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 68293442779200 in words is "sixty-eight trillion, two hundred ninety-three billion, four hundred forty-two million, seven hundred seventy-nine thousand, two hundred".