1649984000 has 320 divisors, whose sum is σ = 4902543360. Its totient is φ = 541900800.

The previous prime is 1649983991. The next prime is 1649984041. The reversal of 1649984000 is 4899461.

It is a tau number, because it is divible by the number of its divisors (320).

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, 12991937 + ... + 12992063.

It is an arithmetic number, because the mean of its divisors is an integer number (15320448).

Almost surely, 2^1649984000 is an apocalyptic number.

1649984000 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 1649984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451271680).

1649984000 is an abundant number, since it is smaller than the sum of its proper divisors (3252559360).

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

1649984000 is an equidigital number, since it uses as much as digits as its factorization.

1649984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 1649984000 is about 40619.9950763168. The cubic root of 1649984000 is about 1181.6619309295.

The spelling of 1649984000 in words is "one billion, six hundred forty-nine million, nine hundred eighty-four thousand".