426568624416 has 144 divisors (see below), whose sum is σ = 1330983239040. Its totient is φ = 128515868160.

The previous prime is 426568624403. The next prime is 426568624463. The reversal of 426568624416 is 614426865624.

426568624416 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 6 + 8 + 624 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158905 + ... + 937223.

It is an arithmetic number, because the mean of its divisors is an integer number (9242939160).

Almost surely, 2^426568624416 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 426568624416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665491619520).

426568624416 is an abundant number, since it is smaller than the sum of its proper divisors (904414614624).

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

426568624416 is a wasteful number, since it uses less digits than its factorization.

426568624416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778519 (or 778508 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 426568624416 in words is "four hundred twenty-six billion, five hundred sixty-eight million, six hundred twenty-four thousand, four hundred sixteen".