1669288320 has 384 divisors, whose sum is σ = 6937632000. Its totient is φ = 361304064.

The previous prime is 1669288303. The next prime is 1669288321. The reversal of 1669288320 is 238829661.

1669288320 is a `hidden beast` number, since 166 + 92 + 88 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1669288320³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1669288321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764991 + ... + 767169.

It is an arithmetic number, because the mean of its divisors is an integer number (18066750).

Almost surely, 2^1669288320 is an apocalyptic number.

1669288320 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 1669288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468816000).

1669288320 is an abundant number, since it is smaller than the sum of its proper divisors (5268343680).

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

1669288320 is a wasteful number, since it uses less digits than its factorization.

1669288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1669288320 is about 40856.9249944241. The cubic root of 1669288320 is about 1186.2524385703.

The spelling of 1669288320 in words is "one billion, six hundred sixty-nine million, two hundred eighty-eight thousand, three hundred twenty".