426373116624 has 960 divisors, whose sum is σ = 1597924392960. Its totient is φ = 107775360000.

The previous prime is 426373116613. The next prime is 426373116641. The reversal of 426373116624 is 426611373624.

426373116624 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 7 + 3 + 1 + 16 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 426373116624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1288136139 + ... + 1288136469.

It is an arithmetic number, because the mean of its divisors is an integer number (1664504576).

Almost surely, 2^426373116624 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 426373116624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798962196480).

426373116624 is an abundant number, since it is smaller than the sum of its proper divisors (1171551276336).

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

426373116624 is a wasteful number, since it uses less digits than its factorization.

426373116624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 538 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 426373116624 in words is "four hundred twenty-six billion, three hundred seventy-three million, one hundred sixteen thousand, six hundred twenty-four".