1680718248000 has 2016 divisors, whose sum is σ = 7075067440896. Its totient is φ = 391910400000.

The previous prime is 1680718247921. The next prime is 1680718248007. The reversal of 1680718248000 is 8428170861.

1680718248000 is a `hidden beast` number, since 16 + 80 + 7 + 1 + 82 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1680718248007) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 23672087965 + ... + 23672088035.

It is an arithmetic number, because the mean of its divisors is an integer number (3509458056).

Almost surely, 2^{1680718248000} is an apocalyptic number.

1680718248000 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 1680718248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537533720448).

1680718248000 is an abundant number, since it is smaller than the sum of its proper divisors (5394349192896).

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

1680718248000 is an frugal number, since it uses more digits than its factorization.

1680718248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1680718248000 in words is "one trillion, six hundred eighty billion, seven hundred eighteen million, two hundred forty-eight thousand".