6674568120 has 288 divisors, whose sum is σ = 24181794000. Its totient is φ = 1595151360.

The previous prime is 6674568077. The next prime is 6674568139. The reversal of 6674568120 is 218654766.

6674568120 is a `hidden beast` number, since 6 + 6 + 74 + 568 + 12 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3178831 + ... + 3180929.

Almost surely, 2^6674568120 is an apocalyptic number.

6674568120 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 6674568120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12090897000).

6674568120 is an abundant number, since it is smaller than the sum of its proper divisors (17507225880).

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

6674568120 is a wasteful number, since it uses less digits than its factorization.

6674568120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6674568120 is about 81698.0300864103. The cubic root of 6674568120 is about 1882.8153194237.

It can be divided in two parts, 667456 and 8120, that added together give a palindrome (675576).

The spelling of 6674568120 in words is "six billion, six hundred seventy-four million, five hundred sixty-eight thousand, one hundred twenty".