6434326272 has 288 divisors, whose sum is σ = 19591004160. Its totient is φ = 1857024000.

The previous prime is 6434326259. The next prime is 6434326321. The reversal of 6434326272 is 2726234346.

It is a self number, because there is not a number n which added to its sum of digits gives 6434326272.

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 31 ways as a sum of consecutive naturals, for example, 20688997 + ... + 20689307.

It is an arithmetic number, because the mean of its divisors is an integer number (68024320).

Almost surely, 2^6434326272 is an apocalyptic number.

6434326272 is a gapful number since it is divisible by the number (62) 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 6434326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9795502080).

6434326272 is an abundant number, since it is smaller than the sum of its proper divisors (13156677888).

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

6434326272 is a wasteful number, since it uses less digits than its factorization.

6434326272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its digits is 290304, while the sum is 39.

The square root of 6434326272 is about 80214.2522997005. The cubic root of 6434326272 is about 1859.9489591729.

The spelling of 6434326272 in words is "six billion, four hundred thirty-four million, three hundred twenty-six thousand, two hundred seventy-two".