6674640182496 has 1344 divisors, whose sum is σ = 25178292248256. Its totient is φ = 1709177241600.

The previous prime is 6674640182477. The next prime is 6674640182569. The reversal of 6674640182496 is 6942810464766.

It is a happy number.

6674640182496 is a `hidden beast` number, since 6 + 6 + 7 + 4 + 64 + 0 + 1 + 82 + 496 = 666.

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 223 ways as a sum of consecutive naturals, for example, 2098282026 + ... + 2098285206.

It is an arithmetic number, because the mean of its divisors is an integer number (18733848399).

Almost surely, 2^{6674640182496} is an apocalyptic number.

6674640182496 is a gapful number since it is divisible by the number (66) 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 6674640182496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589146124128).

6674640182496 is an abundant number, since it is smaller than the sum of its proper divisors (18503652065760).

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

6674640182496 is a wasteful number, since it uses less digits than its factorization.

6674640182496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 6674640182496 in words is "six trillion, six hundred seventy-four billion, six hundred forty million, one hundred eighty-two thousand, four hundred ninety-six".