1686046256640 has 240 divisors, whose sum is σ = 5840715889008. Its totient is φ = 449499660288.

The previous prime is 1686046256617. The next prime is 1686046256669. The reversal of 1686046256640 is 466526406861.

1686046256640 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 0 + 4 + 625 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135169444 + ... + 135181916.

Almost surely, 2^{1686046256640} is an apocalyptic number.

1686046256640 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 1686046256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920357944504).

1686046256640 is an abundant number, since it is smaller than the sum of its proper divisors (4154669632368).

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

1686046256640 is a wasteful number, since it uses less digits than its factorization.

1686046256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18369 (or 18350 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 1686046256640 in words is "one trillion, six hundred eighty-six billion, forty-six million, two hundred fifty-six thousand, six hundred forty".