1680663600 has 960 divisors, whose sum is σ = 7793786880. Its totient is φ = 333849600.

The previous prime is 1680663599. The next prime is 1680663619. The reversal of 1680663600 is 63660861.

1680663600 is a `hidden beast` number, since 16 + 8 + 0 + 6 + 636 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35758777 + ... + 35758823.

It is an arithmetic number, because the mean of its divisors is an integer number (8118528).

Almost surely, 2^1680663600 is an apocalyptic number.

1680663600 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 1680663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896893440).

1680663600 is an abundant number, since it is smaller than the sum of its proper divisors (6113123280).

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

1680663600 is a wasteful number, since it uses less digits than its factorization.

1680663600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1680663600 is about 40995.8973557111. The cubic root of 1680663600 is about 1188.9408932263.

The spelling of 1680663600 in words is "one billion, six hundred eighty million, six hundred sixty-three thousand, six hundred".