1685467805840 has 240 divisors, whose sum is σ = 4976416207728. Its totient is φ = 526114455552.

The previous prime is 1685467805779. The next prime is 1685467805911. The reversal of 1685467805840 is 485087645861.

It can be written as a sum of positive squares in 8 ways, for example, as 34016638096 + 1651451167744 = 184436^2 + 1285088^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3493544 + ... + 3946616.

Almost surely, 2^{1685467805840} is an apocalyptic number.

1685467805840 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 1685467805840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488208103864).

1685467805840 is an abundant number, since it is smaller than the sum of its proper divisors (3290948401888).

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

1685467805840 is a wasteful number, since it uses less digits than its factorization.

1685467805840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453186 (or 453173 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 62.

The spelling of 1685467805840 in words is "one trillion, six hundred eighty-five billion, four hundred sixty-seven million, eight hundred five thousand, eight hundred forty".