1680918647040 has 648 divisors, whose sum is σ = 5975183567808. Its totient is φ = 436263936000.

The previous prime is 1680918647017. The next prime is 1680918647077. The reversal of 1680918647040 is 407468190861.

1680918647040 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 91 + 86 + 470 + 4 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 6696886915 + ... + 6696887165.

It is an arithmetic number, because the mean of its divisors is an integer number (9220962296).

Almost surely, 2^{1680918647040} is an apocalyptic number.

1680918647040 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 1680918647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987591783904).

1680918647040 is an abundant number, since it is smaller than the sum of its proper divisors (4294264920768).

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

1680918647040 is a wasteful number, since it uses less digits than its factorization.

1680918647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1680918647040 in words is "one trillion, six hundred eighty billion, nine hundred eighteen million, six hundred forty-seven thousand, forty".