6466820620800 has 480 divisors, whose sum is σ = 22413615865344. Its totient is φ = 1641480192000.

The previous prime is 6466820620723. The next prime is 6466820620823. The reversal of 6466820620800 is 80260286646.

It is a tau number, because it is divible by the number of its divisors (480).

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 6466820620800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72569872 + ... + 72658928.

Almost surely, 2^{6466820620800} is an apocalyptic number.

6466820620800 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 6466820620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206807932672).

6466820620800 is an abundant number, since it is smaller than the sum of its proper divisors (15946795244544).

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

6466820620800 is a wasteful number, since it uses less digits than its factorization.

6466820620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89180 (or 89159 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 6466820620800 in words is "six trillion, four hundred sixty-six billion, eight hundred twenty million, six hundred twenty thousand, eight hundred".