1680973460640 has 192 divisors, whose sum is σ = 5908027507200. Its totient is φ = 446383752192.

The previous prime is 1680973460561. The next prime is 1680973460641. The reversal of 1680973460640 is 460643790861.

1680973460640 is a `hidden beast` number, since 16 + 80 + 97 + 3 + 460 + 6 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1680973460641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218434 + ... + 1846526.

It is an arithmetic number, because the mean of its divisors is an integer number (30770976600).

Almost surely, 2^{1680973460640} is an apocalyptic number.

1680973460640 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 1680973460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954013753600).

1680973460640 is an abundant number, since it is smaller than the sum of its proper divisors (4227054046560).

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

1680973460640 is a wasteful number, since it uses less digits than its factorization.

1680973460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628356 (or 1628342 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1680973460640 in words is "one trillion, six hundred eighty billion, nine hundred seventy-three million, four hundred sixty thousand, six hundred forty".