6336804960 has 240 divisors, whose sum is σ = 22566763296. Its totient is φ = 1674473472.

The previous prime is 6336804949. The next prime is 6336804977. The reversal of 6336804960 is 694086336.

6336804960 is a `hidden beast` number, since 633 + 6 + 8 + 0 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1462317 + ... + 1466643.

Almost surely, 2^6336804960 is an apocalyptic number.

6336804960 is a gapful number since it is divisible by the number (60) 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 6336804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11283381648).

6336804960 is an abundant number, since it is smaller than the sum of its proper divisors (16229958336).

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

6336804960 is a wasteful number, since it uses less digits than its factorization.

6336804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 6336804960 is about 79604.0511531919. The cubic root of 6336804960 is about 1850.5043630924.

The spelling of 6336804960 in words is "six billion, three hundred thirty-six million, eight hundred four thousand, nine hundred sixty".