6347630016 has 448 divisors, whose sum is σ = 23609564160. Its totient is φ = 1627361280.

The previous prime is 6347630011. The next prime is 6347630033. The reversal of 6347630016 is 6100367436.

It is a happy number.

6347630016 is a `hidden beast` number, since 6 + 3 + 4 + 7 + 630 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (6347630011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5817631 + ... + 5818721.

It is an arithmetic number, because the mean of its divisors is an integer number (52699920).

Almost surely, 2^6347630016 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 6347630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11804782080).

6347630016 is an abundant number, since it is smaller than the sum of its proper divisors (17261934144).

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

6347630016 is a wasteful number, since it uses less digits than its factorization.

6347630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6347630016 is about 79672.0152625751. The cubic root of 6347630016 is about 1851.5574920025.

The spelling of 6347630016 in words is "six billion, three hundred forty-seven million, six hundred thirty thousand, sixteen".