6327336960 has 384 divisors, whose sum is σ = 25108817760. Its totient is φ = 1443889152.

The previous prime is 6327336943. The next prime is 6327336971. The reversal of 6327336960 is 696337236.

6327336960 is a `hidden beast` number, since 632 + 7 + 3 + 3 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 23 ways as a sum of consecutive naturals, for example, 10321614 + ... + 10322226.

Almost surely, 2^6327336960 is an apocalyptic number.

6327336960 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 6327336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554408880).

6327336960 is an abundant number, since it is smaller than the sum of its proper divisors (18781480800).

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

6327336960 is an equidigital number, since it uses as much as digits as its factorization.

6327336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The square root of 6327336960 is about 79544.5595876927. The cubic root of 6327336960 is about 1849.5822733501.

The spelling of 6327336960 in words is "six billion, three hundred twenty-seven million, three hundred thirty-six thousand, nine hundred sixty".