426798560073600 has 2688 divisors, whose sum is σ = 1861697043763200. Its totient is φ = 95272298496000.

The previous prime is 426798560073577. The next prime is 426798560073607. The reversal of 426798560073600 is 6370065897624.

426798560073600 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 9 + 8 + 560 + 0 + 7 + 3 + 60 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426798560073607) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 159789800265 + ... + 159789802935.

It is an arithmetic number, because the mean of its divisors is an integer number (692595626400).

Almost surely, 2^{426798560073600} is an apocalyptic number.

426798560073600 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 426798560073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930848521881600).

426798560073600 is an abundant number, since it is smaller than the sum of its proper divisors (1434898483689600).

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

426798560073600 is a wasteful number, since it uses less digits than its factorization.

426798560073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 426798560073600 in words is "four hundred twenty-six trillion, seven hundred ninety-eight billion, five hundred sixty million, seventy-three thousand, six hundred".