1669344768 has 320 divisors, whose sum is σ = 6086277120. Its totient is φ = 439934976.

The previous prime is 1669344751. The next prime is 1669344791. The reversal of 1669344768 is 8674439661.

1669344768 is a `hidden beast` number, since 166 + 9 + 3 + 4 + 476 + 8 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 1257321 + ... + 1258647.

It is an arithmetic number, because the mean of its divisors is an integer number (19019616).

Almost surely, 2^1669344768 is an apocalyptic number.

1669344768 is a gapful number since it is divisible by the number (18) 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 1669344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043138560).

1669344768 is an abundant number, since it is smaller than the sum of its proper divisors (4416932352).

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

1669344768 is a wasteful number, since it uses less digits than its factorization.

1669344768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1352 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 1669344768 is about 40857.6157894706. The cubic root of 1669344768 is about 1186.2658097022.

The spelling of 1669344768 in words is "one billion, six hundred sixty-nine million, three hundred forty-four thousand, seven hundred sixty-eight".