1688720000 has 320 divisors, whose sum is σ = 4875314400. Its totient is φ = 576000000.

The previous prime is 1688719999. The next prime is 1688720021. The reversal of 1688720000 is 278861.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 16719950 + ... + 16720050.

Almost surely, 2^1688720000 is an apocalyptic number.

1688720000 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 1688720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437657200).

1688720000 is an abundant number, since it is smaller than the sum of its proper divisors (3186594400).

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

1688720000 is a wasteful number, since it uses less digits than its factorization.

1688720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1688720000 is about 41094.0384970862. The cubic root of 1688720000 is about 1190.8376279046.

Adding to 1688720000 its reverse (278861), we get a palindrome (1688998861).

The spelling of 1688720000 in words is "one billion, six hundred eighty-eight million, seven hundred twenty thousand".