6379326720 has 360 divisors, whose sum is σ = 24587468136. Its totient is φ = 1569964032.

The previous prime is 6379326673. The next prime is 6379326727. The reversal of 6379326720 is 276239736.

6379326720 is a `hidden beast` number, since 637 + 9 + 3 + 2 + 6 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15116544 + 6364210176 = 3888^2 + 79776^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6379326727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1345474 + ... + 1350206.

Almost surely, 2^6379326720 is an apocalyptic number.

6379326720 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 6379326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293734068).

6379326720 is an abundant number, since it is smaller than the sum of its proper divisors (18208141416).

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

6379326720 is a wasteful number, since it uses less digits than its factorization.

6379326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 6379326720 is about 79870.6874892160. The cubic root of 6379326720 is about 1854.6342757082.

The spelling of 6379326720 in words is "six billion, three hundred seventy-nine million, three hundred twenty-six thousand, seven hundred twenty".