1680564744 has 192 divisors, whose sum is σ = 4980830400. Its totient is φ = 511522560.

The previous prime is 1680564737. The next prime is 1680564779. The reversal of 1680564744 is 4474650861.

1680564744 is a `hidden beast` number, since 1 + 6 + 80 + 564 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1680564744.

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, 20247727 + ... + 20247809.

It is an arithmetic number, because the mean of its divisors is an integer number (25941825).

Almost surely, 2^1680564744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680564744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490415200).

1680564744 is an abundant number, since it is smaller than the sum of its proper divisors (3300265656).

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

1680564744 is a wasteful number, since it uses less digits than its factorization.

1680564744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1680564744 is about 40994.6916563596. The cubic root of 1680564744 is about 1188.9175817508.

The spelling of 1680564744 in words is "one billion, six hundred eighty million, five hundred sixty-four thousand, seven hundred forty-four".