6406544430 has 288 divisors, whose sum is σ = 20478642912. Its totient is φ = 1369843200.

The previous prime is 6406544423. The next prime is 6406544437. The reversal of 6406544430 is 344456046.

6406544430 is a `hidden beast` number, since 640 + 6 + 5 + 4 + 4 + 4 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6406544423) and next prime (6406544437).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406544437) 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 143 ways as a sum of consecutive naturals, for example, 6807760 + ... + 6808700.

It is an arithmetic number, because the mean of its divisors is an integer number (71106399).

Almost surely, 2^6406544430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6406544430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239321456).

6406544430 is an abundant number, since it is smaller than the sum of its proper divisors (14072098482).

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

6406544430 is a wasteful number, since it uses less digits than its factorization.

6406544430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 6406544430 is about 80040.8922364063. The cubic root of 6406544430 is about 1857.2681627173.

The spelling of 6406544430 in words is "six billion, four hundred six million, five hundred forty-four thousand, four hundred thirty".