426764169216 has 1248 divisors, whose sum is σ = 1665837089280. Its totient is φ = 101921587200.

The previous prime is 426764169199. The next prime is 426764169239. The reversal of 426764169216 is 612961467624.

426764169216 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 6 + 416 + 9 + 216 = 666.

It is a super-2 number, since 2×426764169216² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2211213216 + ... + 2211213408.

It is an arithmetic number, because the mean of its divisors is an integer number (1334805360).

Almost surely, 2^426764169216 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 426764169216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832918544640).

426764169216 is an abundant number, since it is smaller than the sum of its proper divisors (1239072920064).

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

426764169216 is a wasteful number, since it uses less digits than its factorization.

426764169216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 426764169216 in words is "four hundred twenty-six billion, seven hundred sixty-four million, one hundred sixty-nine thousand, two hundred sixteen".