6239658672 has 240 divisors, whose sum is σ = 20437580800. Its totient is φ = 1759864320.

The previous prime is 6239658637. The next prime is 6239658673. The reversal of 6239658672 is 2768569326.

6239658672 is a `hidden beast` number, since 623 + 9 + 6 + 5 + 8 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (6239658673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1099779 + ... + 1105437.

Almost surely, 2^6239658672 is an apocalyptic number.

6239658672 is a gapful number since it is divisible by the number (62) 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 6239658672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10218790400).

6239658672 is an abundant number, since it is smaller than the sum of its proper divisors (14197922128).

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

6239658672 is a wasteful number, since it uses less digits than its factorization.

6239658672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5727 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 6239658672 is about 78991.5101260889. The cubic root of 6239658672 is about 1840.9992477261. Note that the first 3 decimals are identical.

The spelling of 6239658672 in words is "six billion, two hundred thirty-nine million, six hundred fifty-eight thousand, six hundred seventy-two".