426367727808 has 224 divisors, whose sum is σ = 1299643011072. Its totient is φ = 122094720000.

The previous prime is 426367727767. The next prime is 426367727827. The reversal of 426367727808 is 808727763624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3978933 + ... + 4084683.

It is an arithmetic number, because the mean of its divisors is an integer number (5801977728).

Almost surely, 2^426367727808 is an apocalyptic number.

426367727808 is a gapful number since it is divisible by the number (48) 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 426367727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649821505536).

426367727808 is an abundant number, since it is smaller than the sum of its proper divisors (873275283264).

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

426367727808 is a wasteful number, since it uses less digits than its factorization.

426367727808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105883 (or 105873 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 60.

The spelling of 426367727808 in words is "four hundred twenty-six billion, three hundred sixty-seven million, seven hundred twenty-seven thousand, eight hundred eight".