426304802746368 has 2340 divisors, whose sum is σ = 1649277487103400. Its totient is φ = 108753359339520.

The previous prime is 426304802746367. The next prime is 426304802746373. The reversal of 426304802746368 is 863647208403624.

426304802746368 is a `hidden beast` number, since 4 + 2 + 6 + 30 + 4 + 80 + 2 + 7 + 463 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426304802746367) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 203098999783 + ... + 203099001881.

Almost surely, 2^{426304802746368} is an apocalyptic number.

426304802746368 is a gapful number since it is divisible by the number (48) 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 426304802746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824638743551700).

426304802746368 is an abundant number, since it is smaller than the sum of its proper divisors (1222972684357032).

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

426304802746368 is a wasteful number, since it uses less digits than its factorization.

426304802746368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 63.

The spelling of 426304802746368 in words is "four hundred twenty-six trillion, three hundred four billion, eight hundred two million, seven hundred forty-six thousand, three hundred sixty-eight".