426703495680 has 960 divisors, whose sum is σ = 1939568716800. Its totient is φ = 83992412160.

The previous prime is 426703495679. The next prime is 426703495703. The reversal of 426703495680 is 86594307624.

426703495680 is a `hidden beast` number, since 4 + 2 + 6 + 70 + 3 + 4 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33701191 + ... + 33713849.

It is an arithmetic number, because the mean of its divisors is an integer number (2020384080).

Almost surely, 2^426703495680 is an apocalyptic number.

426703495680 is a gapful number since it is divisible by the number (40) 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 426703495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969784358400).

426703495680 is an abundant number, since it is smaller than the sum of its proper divisors (1512865221120).

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

426703495680 is a wasteful number, since it uses less digits than its factorization.

426703495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12725 (or 12706 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 426703495680 in words is "four hundred twenty-six billion, seven hundred three million, four hundred ninety-five thousand, six hundred eighty".