6671752705200 has 240 divisors, whose sum is σ = 24066833052672. Its totient is φ = 1565220480000.

The previous prime is 6671752705183. The next prime is 6671752705201. The reversal of 6671752705200 is 25072571766.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6671752705200.

It is not an unprimeable number, because it can be changed into a prime (6671752705201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7742991 + ... + 8561390.

Almost surely, 2^{6671752705200} is an apocalyptic number.

6671752705200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6671752705200 is an abundant number, since it is smaller than the sum of its proper divisors (17395080347472).

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

6671752705200 is a wasteful number, since it uses less digits than its factorization.

6671752705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16304444 (or 16304433 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 6671752705200 in words is "six trillion, six hundred seventy-one billion, seven hundred fifty-two million, seven hundred five thousand, two hundred".