669434166221184 has 7680 divisors, whose sum is σ = 2940870559334400. Its totient is φ = 148687670476800.

The previous prime is 669434166221141. The next prime is 669434166221257. The reversal of 669434166221184 is 481122661434966.

669434166221184 is a `hidden beast` number, since 6 + 6 + 9 + 4 + 341 + 66 + 221 + 1 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 3504890922529 + ... + 3504890922719.

It is an arithmetic number, because the mean of its divisors is an integer number (382925854080).

Almost surely, 2^{669434166221184} is an apocalyptic number.

669434166221184 is a gapful number since it is divisible by the number (64) 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 669434166221184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470435279667200).

669434166221184 is an abundant number, since it is smaller than the sum of its proper divisors (2271436393113216).

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

669434166221184 is a wasteful number, since it uses less digits than its factorization.

669434166221184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 336 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 669434166221184 in words is "six hundred sixty-nine trillion, four hundred thirty-four billion, one hundred sixty-six million, two hundred twenty-one thousand, one hundred eighty-four".