1681805900736 has 336 divisors, whose sum is σ = 5296779091968. Its totient is φ = 507057408000.

The previous prime is 1681805900729. The next prime is 1681805900813. The reversal of 1681805900736 is 6370095081861.

1681805900736 is a `hidden beast` number, since 1 + 6 + 8 + 18 + 0 + 590 + 0 + 7 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95815161 + ... + 95832711.

It is an arithmetic number, because the mean of its divisors is an integer number (15764223488).

Almost surely, 2^{1681805900736} is an apocalyptic number.

1681805900736 is a gapful number since it is divisible by the number (16) 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 1681805900736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648389545984).

1681805900736 is an abundant number, since it is smaller than the sum of its proper divisors (3614973191232).

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

1681805900736 is a wasteful number, since it uses less digits than its factorization.

1681805900736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17840 (or 17827 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1681805900736 in words is "one trillion, six hundred eighty-one billion, eight hundred five million, nine hundred thousand, seven hundred thirty-six".