6363961344 has 360 divisors, whose sum is σ = 20674033380. Its totient is φ = 1949515776.

The previous prime is 6363961319. The next prime is 6363961361. The reversal of 6363961344 is 4431693636.

6363961344 is a `hidden beast` number, since 6 + 3 + 639 + 6 + 1 + 3 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6363961344.

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 29 ways as a sum of consecutive naturals, for example, 28034959 + ... + 28035185.

Almost surely, 2^6363961344 is an apocalyptic number.

6363961344 is a gapful number since it is divisible by the number (64) 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 6363961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10337016690).

6363961344 is an abundant number, since it is smaller than the sum of its proper divisors (14310072036).

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

6363961344 is a wasteful number, since it uses less digits than its factorization.

6363961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 245 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 6363961344 is about 79774.4404179685. The cubic root of 6363961344 is about 1853.1440419937.

The spelling of 6363961344 in words is "six billion, three hundred sixty-three million, nine hundred sixty-one thousand, three hundred forty-four".