1680337440 has 384 divisors, whose sum is σ = 6172588800. Its totient is φ = 426516480.

The previous prime is 1680337367. The next prime is 1680337453. The reversal of 1680337440 is 447330861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1680337395 and 1680337404.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9387271 + ... + 9387449.

It is an arithmetic number, because the mean of its divisors is an integer number (16074450).

Almost surely, 2^1680337440 is an apocalyptic number.

1680337440 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 1680337440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086294400).

1680337440 is an abundant number, since it is smaller than the sum of its proper divisors (4492251360).

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

1680337440 is a wasteful number, since it uses less digits than its factorization.

1680337440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1680337440 is about 40991.9192036674. The cubic root of 1680337440 is about 1188.8639771697.

The spelling of 1680337440 in words is "one billion, six hundred eighty million, three hundred thirty-seven thousand, four hundred forty".