426963386304 has 672 divisors, whose sum is σ = 1665009380160. Its totient is φ = 105977217024.

The previous prime is 426963386299. The next prime is 426963386323. The reversal of 426963386304 is 403683369624.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18701104 + ... + 18723920.

It is an arithmetic number, because the mean of its divisors is an integer number (2477692530).

Almost surely, 2^426963386304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426963386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832504690080).

426963386304 is an abundant number, since it is smaller than the sum of its proper divisors (1238045993856).

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

426963386304 is a wasteful number, since it uses less digits than its factorization.

426963386304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22882 (or 22859 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 426963386304 in words is "four hundred twenty-six billion, nine hundred sixty-three million, three hundred eighty-six thousand, three hundred four".