6423834219264 has 2592 divisors, whose sum is σ = 26241231744000. Its totient is φ = 1494995927040.

The previous prime is 6423834219239. The next prime is 6423834219307. The reversal of 6423834219264 is 4629124383246.

6423834219264 is a `hidden beast` number, since 6 + 4 + 2 + 38 + 342 + 1 + 9 + 264 = 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 6423834219264.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72177912532 + ... + 72177912620.

It is an arithmetic number, because the mean of its divisors is an integer number (10123932000).

Almost surely, 2^{6423834219264} is an apocalyptic number.

6423834219264 is a gapful number since it is divisible by the number (64) 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 6423834219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13120615872000).

6423834219264 is an abundant number, since it is smaller than the sum of its proper divisors (19817397524736).

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

6423834219264 is a wasteful number, since it uses less digits than its factorization.

6423834219264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 154 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 6423834219264 in words is "six trillion, four hundred twenty-three billion, eight hundred thirty-four million, two hundred nineteen thousand, two hundred sixty-four".