6303544416 has 288 divisors, whose sum is σ = 20218318848. Its totient is φ = 1920360960.

The previous prime is 6303544411. The next prime is 6303544417. The reversal of 6303544416 is 6144453036.

6303544416 is a `hidden beast` number, since 630 + 3 + 5 + 4 + 4 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6303544411) 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 47 ways as a sum of consecutive naturals, for example, 12837931 + ... + 12838421.

It is an arithmetic number, because the mean of its divisors is an integer number (70202496).

Almost surely, 2^6303544416 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 6303544416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10109159424).

6303544416 is an abundant number, since it is smaller than the sum of its proper divisors (13914774432).

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

6303544416 is a wasteful number, since it uses less digits than its factorization.

6303544416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6303544416 is about 79394.8639144876. The cubic root of 6303544416 is about 1847.2610471106.

The spelling of 6303544416 in words is "six billion, three hundred three million, five hundred forty-four thousand, four hundred sixteen".