1680716260800 has 1008 divisors, whose sum is σ = 6576652043520. Its totient is φ = 417411809280.

The previous prime is 1680716260789. The next prime is 1680716260801. The reversal of 1680716260800 is 80626170861.

It is a happy number.

1680716260800 is a `hidden beast` number, since 16 + 8 + 0 + 7 + 1 + 626 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680716260801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1285933747 + ... + 1285935053.

Almost surely, 2^{1680716260800} is an apocalyptic number.

1680716260800 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 1680716260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288326021760).

1680716260800 is an abundant number, since it is smaller than the sum of its proper divisors (4895935782720).

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

1680716260800 is a wasteful number, since it uses less digits than its factorization.

1680716260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1680716260800 in words is "one trillion, six hundred eighty billion, seven hundred sixteen million, two hundred sixty thousand, eight hundred".