6344406432 has 768 divisors, whose sum is σ = 24927436800. Its totient is φ = 1522851840.

The previous prime is 6344406407. The next prime is 6344406449. The reversal of 6344406432 is 2346044436.

6344406432 is a `hidden beast` number, since 6 + 3 + 4 + 4 + 4 + 0 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46309468 + ... + 46309604.

It is an arithmetic number, because the mean of its divisors is an integer number (32457600).

Almost surely, 2^6344406432 is an apocalyptic number.

6344406432 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 6344406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463718400).

6344406432 is an abundant number, since it is smaller than the sum of its proper divisors (18583030368).

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

6344406432 is a wasteful number, since it uses less digits than its factorization.

6344406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 6344406432 is about 79651.7823529392. The cubic root of 6344406432 is about 1851.2440069301.

The spelling of 6344406432 in words is "six billion, three hundred forty-four million, four hundred six thousand, four hundred thirty-two".