1680783264 has 96 divisors (see below), whose sum is σ = 4982806080. Its totient is φ = 551059200.

The previous prime is 1680783257. The next prime is 1680783281. The reversal of 1680783264 is 4623870861.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36759 + ... + 68649.

It is an arithmetic number, because the mean of its divisors is an integer number (51904230).

Almost surely, 2^1680783264 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 1680783264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491403040).

1680783264 is an abundant number, since it is smaller than the sum of its proper divisors (3302022816).

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

1680783264 is a wasteful number, since it uses less digits than its factorization.

1680783264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31971 (or 31957 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1680783264 is about 40997.3567928470. The cubic root of 1680783264 is about 1188.9691102644.

The spelling of 1680783264 in words is "one billion, six hundred eighty million, seven hundred eighty-three thousand, two hundred sixty-four".