6327986328 has 288 divisors, whose sum is σ = 19171676160. Its totient is φ = 1954653120.

The previous prime is 6327986323. The next prime is 6327986411. The reversal of 6327986328 is 8236897236.

It is a happy number.

It is a super-4 number, since 4×6327986328⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6327986323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49826601 + ... + 49826727.

It is an arithmetic number, because the mean of its divisors is an integer number (66568320).

Almost surely, 2^6327986328 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 6327986328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585838080).

6327986328 is an abundant number, since it is smaller than the sum of its proper divisors (12843689832).

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

6327986328 is a wasteful number, since it uses less digits than its factorization.

6327986328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 222 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 6327986328 is about 79548.6412706088. The cubic root of 6327986328 is about 1849.6455447529.

The spelling of 6327986328 in words is "six billion, three hundred twenty-seven million, nine hundred eighty-six thousand, three hundred twenty-eight".