6381853632 has 504 divisors, whose sum is σ = 23384711168. Its totient is φ = 1628605440.

The previous prime is 6381853613. The next prime is 6381853633. The reversal of 6381853632 is 2363581836.

6381853632 is a `hidden beast` number, since 6 + 3 + 8 + 1 + 8 + 5 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6381853633) 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 71 ways as a sum of consecutive naturals, for example, 50250753 + ... + 50250879.

Almost surely, 2^6381853632 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 6381853632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692355584).

6381853632 is an abundant number, since it is smaller than the sum of its proper divisors (17002857536).

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

6381853632 is a wasteful number, since it uses less digits than its factorization.

6381853632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 253 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 6381853632 is about 79886.5046925950. The cubic root of 6381853632 is about 1854.8791228088.

The spelling of 6381853632 in words is "six billion, three hundred eighty-one million, eight hundred fifty-three thousand, six hundred thirty-two".