3366564223680 has 1344 divisors, whose sum is σ = 14725029427200. Its totient is φ = 728859285504.

The previous prime is 3366564223663. The next prime is 3366564223783. The reversal of 3366564223680 is 863224656633.

3366564223680 is a `hidden beast` number, since 3 + 3 + 66 + 56 + 422 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3366564223680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 651548457 + ... + 651553623.

Almost surely, 2^{3366564223680} is an apocalyptic number.

3366564223680 is a gapful number since it is divisible by the number (30) 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 3366564223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362514713600).

3366564223680 is an abundant number, since it is smaller than the sum of its proper divisors (11358465203520).

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

3366564223680 is an equidigital number, since it uses as much as digits as its factorization.

3366564223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 3366564223680 in words is "three trillion, three hundred sixty-six billion, five hundred sixty-four million, two hundred twenty-three thousand, six hundred eighty".