6670635865344 has 432 divisors, whose sum is σ = 22144722163200. Its totient is φ = 1909910016000.

The previous prime is 6670635865321. The next prime is 6670635865489. The reversal of 6670635865344 is 4435685360766.

6670635865344 is a `hidden beast` number, since 6 + 6 + 7 + 0 + 6 + 3 + 586 + 5 + 3 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182483869 + ... + 182520419.

Almost surely, 2^{6670635865344} is an apocalyptic number.

6670635865344 is a gapful number since it is divisible by the number (64) 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 6670635865344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11072361081600).

6670635865344 is an abundant number, since it is smaller than the sum of its proper divisors (15474086297856).

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

6670635865344 is a wasteful number, since it uses less digits than its factorization.

6670635865344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36982 (or 36965 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 6670635865344 in words is "six trillion, six hundred seventy billion, six hundred thirty-five million, eight hundred sixty-five thousand, three hundred forty-four".