1680496800 has 288 divisors, whose sum is σ = 5821502400. Its totient is φ = 419880960.

The previous prime is 1680496793. The next prime is 1680496813. The reversal of 1680496800 is 86940861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6247066 + ... + 6247334.

It is an arithmetic number, because the mean of its divisors is an integer number (20213550).

Almost surely, 2^1680496800 is an apocalyptic number.

1680496800 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 1680496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910751200).

1680496800 is an abundant number, since it is smaller than the sum of its proper divisors (4141005600).

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

1680496800 is a wasteful number, since it uses less digits than its factorization.

1680496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1680496800 is about 40993.8629553254. The cubic root of 1680496800 is about 1188.9015591795.

The spelling of 1680496800 in words is "one billion, six hundred eighty million, four hundred ninety-six thousand, eight hundred".