6466434912 has 144 divisors (see below), whose sum is σ = 21929806080. Its totient is φ = 1767211776.

The previous prime is 6466434899. The next prime is 6466434913. The reversal of 6466434912 is 2194346646.

6466434912 is a `hidden beast` number, since 64 + 66 + 43 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6466434912² = 83629560942264895488, which 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 not an unprimeable number, because it can be changed into a prime (6466434913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23362 + ... + 116097.

It is an arithmetic number, because the mean of its divisors is an integer number (152290320).

Almost surely, 2^6466434912 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 6466434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964903040).

6466434912 is an abundant number, since it is smaller than the sum of its proper divisors (15463371168).

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

6466434912 is a wasteful number, since it uses less digits than its factorization.

6466434912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139505 (or 139494 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 6466434912 is about 80414.1462181873. The cubic root of 6466434912 is about 1863.0376724455.

The spelling of 6466434912 in words is "six billion, four hundred sixty-six million, four hundred thirty-four thousand, nine hundred twelve".