426681335808 has 576 divisors, whose sum is σ = 1526648834880. Its totient is φ = 112439328768.

The previous prime is 426681335807. The next prime is 426681335831. The reversal of 426681335808 is 808533186624.

426681335808 is a `hidden beast` number, since 4 + 26 + 6 + 8 + 1 + 33 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (426681335807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348880285 + ... + 348881507.

It is an arithmetic number, because the mean of its divisors is an integer number (2650432005).

Almost surely, 2^426681335808 is an apocalyptic number.

426681335808 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 426681335808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763324417440).

426681335808 is an abundant number, since it is smaller than the sum of its proper divisors (1099967499072).

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

426681335808 is a wasteful number, since it uses less digits than its factorization.

426681335808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 426681335808 in words is "four hundred twenty-six billion, six hundred eighty-one million, three hundred thirty-five thousand, eight hundred eight".