6673201264800 has 2016 divisors, whose sum is σ = 29591081049600. Its totient is φ = 1434862356480.

The previous prime is 6673201264783. The next prime is 6673201264813. The reversal of 6673201264800 is 84621023766.

6673201264800 is a `hidden beast` number, since 6 + 67 + 320 + 1 + 264 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 335 ways as a sum of consecutive naturals, for example, 17607391011 + ... + 17607391389.

It is an arithmetic number, because the mean of its divisors is an integer number (14678115600).

Almost surely, 2^{6673201264800} is an apocalyptic number.

6673201264800 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 6673201264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14795540524800).

6673201264800 is an abundant number, since it is smaller than the sum of its proper divisors (22917879784800).

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

6673201264800 is a wasteful number, since it uses less digits than its factorization.

6673201264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6673201264800 in words is "six trillion, six hundred seventy-three billion, two hundred one million, two hundred sixty-four thousand, eight hundred".