6389868672 has 144 divisors (see below), whose sum is σ = 20211508590. Its totient is φ = 1936281600.

The previous prime is 6389868647. The next prime is 6389868677. The reversal of 6389868672 is 2768689836.

It can be written as a sum of positive squares in only one way, i.e., 5043272256 + 1346596416 = 71016^2 + 36696^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6389868677) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116472 + ... + 162312.

Almost surely, 2^6389868672 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 6389868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10105754295).

6389868672 is an abundant number, since it is smaller than the sum of its proper divisors (13821639918).

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

6389868672 is a wasteful number, since it uses less digits than its factorization.

6389868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45883 (or 45857 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 6389868672 is about 79936.6541206223. The cubic root of 6389868672 is about 1855.6553189693.

The spelling of 6389868672 in words is "six billion, three hundred eighty-nine million, eight hundred sixty-eight thousand, six hundred seventy-two".