1680710169600 has 2112 divisors, whose sum is σ = 8035422842880. Its totient is φ = 333810892800.

The previous prime is 1680710169587. The next prime is 1680710169631. The reversal of 1680710169600 is 69610170861.

1680710169600 is a `hidden beast` number, since 16 + 8 + 0 + 7 + 10 + 16 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

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, 1224114514 + ... + 1224115886.

Almost surely, 2^{1680710169600} is an apocalyptic number.

1680710169600 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 1680710169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017711421440).

1680710169600 is an abundant number, since it is smaller than the sum of its proper divisors (6354712673280).

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

1680710169600 is a wasteful number, since it uses less digits than its factorization.

1680710169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1680710169600 in words is "one trillion, six hundred eighty billion, seven hundred ten million, one hundred sixty-nine thousand, six hundred".