1680640512 has 80 divisors (see below), whose sum is σ = 4586706432. Its totient is φ = 546529280.

The previous prime is 1680640477. The next prime is 1680640517. The reversal of 1680640512 is 2150460861.

It is not an unprimeable number, because it can be changed into a prime (1680640517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49633 + ... + 76319.

Almost surely, 2^1680640512 is an apocalyptic number.

1680640512 is a gapful number since it is divisible by the number (12) 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 1680640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293353216).

1680640512 is an abundant number, since it is smaller than the sum of its proper divisors (2906065920).

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

1680640512 is an equidigital number, since it uses as much as digits as its factorization.

1680640512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26749 (or 26733 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1680640512 is about 40995.6157655913. The cubic root of 1680640512 is about 1188.9354488703.

The spelling of 1680640512 in words is "one billion, six hundred eighty million, six hundred forty thousand, five hundred twelve".