6646504972800 has 1920 divisors, whose sum is σ = 29011397437440. Its totient is φ = 1299500236800.

The previous prime is 6646504972747. The next prime is 6646504972873. The reversal of 6646504972800 is 82794056466.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 191 ways as a sum of consecutive naturals, for example, 10842585294 + ... + 10842585906.

It is an arithmetic number, because the mean of its divisors is an integer number (15110102832).

Almost surely, 2^{6646504972800} is an apocalyptic number.

6646504972800 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 6646504972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14505698718720).

6646504972800 is an abundant number, since it is smaller than the sum of its proper divisors (22364892464640).

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

6646504972800 is a wasteful number, since it uses less digits than its factorization.

6646504972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 6646504972800 in words is "six trillion, six hundred forty-six billion, five hundred four million, nine hundred seventy-two thousand, eight hundred".