6318474336 has 144 divisors (see below), whose sum is σ = 18726821568. Its totient is φ = 2095632000.

The previous prime is 6318474317. The next prime is 6318474361. The reversal of 6318474336 is 6334748136.

6318474336 is a `hidden beast` number, since 631 + 8 + 4 + 7 + 4 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 6318474291 and 6318474300.

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 23 ways as a sum of consecutive naturals, for example, 1638811 + ... + 1642661.

It is an arithmetic number, because the mean of its divisors is an integer number (130047372).

Almost surely, 2^6318474336 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 6318474336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363410784).

6318474336 is an abundant number, since it is smaller than the sum of its proper divisors (12408347232).

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

6318474336 is a wasteful number, since it uses less digits than its factorization.

6318474336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4067 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 6318474336 is about 79488.8315173899. The cubic root of 6318474336 is about 1848.7183073699.

The spelling of 6318474336 in words is "six billion, three hundred eighteen million, four hundred seventy-four thousand, three hundred thirty-six".