1669811008320 has 2352 divisors, whose sum is σ = 7919696142288. Its totient is φ = 331085905920.

The previous prime is 1669811008291. The next prime is 1669811008331. The reversal of 1669811008320 is 238001189661.

It can be written as a sum of positive squares in 8 ways, for example, as 2489610816 + 1667321397504 = 49896^2 + 1291248^2 .

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2526188790 + ... + 2526189450.

Almost surely, 2^{1669811008320} is an apocalyptic number.

1669811008320 is a gapful number since it is divisible by the number (10) 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 1669811008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959848071144).

1669811008320 is an abundant number, since it is smaller than the sum of its proper divisors (6249885133968).

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

1669811008320 is a wasteful number, since it uses less digits than its factorization.

1669811008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1669811008320 in words is "one trillion, six hundred sixty-nine billion, eight hundred eleven million, eight thousand, three hundred twenty".