6649941196800 has 864 divisors, whose sum is σ = 26657300698560. Its totient is φ = 1611871027200.

The previous prime is 6649941196771. The next prime is 6649941196813. The reversal of 6649941196800 is 86911499466.

6649941196800 is a `hidden beast` number, since 66 + 499 + 4 + 1 + 1 + 9 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973206184 + ... + 973213016.

It is an arithmetic number, because the mean of its divisors is an integer number (30853357290).

Almost surely, 2^{6649941196800} is an apocalyptic number.

6649941196800 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 6649941196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328650349280).

6649941196800 is an abundant number, since it is smaller than the sum of its proper divisors (20007359501760).

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

6649941196800 is an equidigital number, since it uses as much as digits as its factorization.

6649941196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6897 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 6649941196800 in words is "six trillion, six hundred forty-nine billion, nine hundred forty-one million, one hundred ninety-six thousand, eight hundred".