1664887680 has 192 divisors, whose sum is σ = 5947905600. Its totient is φ = 428617728.

The previous prime is 1664887663. The next prime is 1664887681. The reversal of 1664887680 is 867884661.

1664887680 is a `hidden beast` number, since 16 + 6 + 488 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664887681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162057 + ... + 172023.

It is an arithmetic number, because the mean of its divisors is an integer number (30978675).

Almost surely, 2^1664887680 is an apocalyptic number.

1664887680 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 1664887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973952800).

1664887680 is an abundant number, since it is smaller than the sum of its proper divisors (4283017920).

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

1664887680 is a wasteful number, since it uses less digits than its factorization.

1664887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021 (or 10006 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 1664887680 is about 40803.0351812215. The cubic root of 1664887680 is about 1185.2091069323.

The spelling of 1664887680 in words is "one billion, six hundred sixty-four million, eight hundred eighty-seven thousand, six hundred eighty".