426623326624 has 192 divisors, whose sum is σ = 1011024322560. Its totient is φ = 174923781120.

The previous prime is 426623326589. The next prime is 426623326687.

426623326624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34296534 + ... + 34308970.

It is an arithmetic number, because the mean of its divisors is an integer number (5265751680).

Almost surely, 2^426623326624 is an apocalyptic number.

426623326624 is a gapful number since it is divisible by the number (44) 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 426623326624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505512161280).

426623326624 is an abundant number, since it is smaller than the sum of its proper divisors (584400995936).

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

426623326624 is a wasteful number, since it uses less digits than its factorization.

426623326624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12723 (or 12715 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 46.

The spelling of 426623326624 in words is "four hundred twenty-six billion, six hundred twenty-three million, three hundred twenty-six thousand, six hundred twenty-four".