1680742839600 has 720 divisors, whose sum is σ = 6612504522624. Its totient is φ = 406591488000.

The previous prime is 1680742839563. The next prime is 1680742839619. The reversal of 1680742839600 is 69382470861.

1680742839600 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 7 + 4 + 28 + 3 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 610511824 + ... + 610514576.

Almost surely, 2^{1680742839600} is an apocalyptic number.

1680742839600 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 1680742839600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306252261312).

1680742839600 is an abundant number, since it is smaller than the sum of its proper divisors (4931761683024).

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

1680742839600 is a wasteful number, since it uses less digits than its factorization.

1680742839600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1680742839600 in words is "one trillion, six hundred eighty billion, seven hundred forty-two million, eight hundred thirty-nine thousand, six hundred".