6640948843200 has 1008 divisors, whose sum is σ = 28699147137024. Its totient is φ = 1421792870400.

The previous prime is 6640948843187. The next prime is 6640948843201. The reversal of 6640948843200 is 23488490466.

6640948843200 is a `hidden beast` number, since 6 + 6 + 40 + 94 + 88 + 432 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6640948843201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 361560417 + ... + 361578783.

It is an arithmetic number, because the mean of its divisors is an integer number (28471376128).

Almost surely, 2^{6640948843200} is an apocalyptic number.

6640948843200 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 6640948843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349573568512).

6640948843200 is an abundant number, since it is smaller than the sum of its proper divisors (22058198293824).

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

6640948843200 is a wasteful number, since it uses less digits than its factorization.

6640948843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18630 (or 18612 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 6640948843200 in words is "six trillion, six hundred forty billion, nine hundred forty-eight million, eight hundred forty-three thousand, two hundred".