1682109332736 has 576 divisors, whose sum is σ = 5841839646720. Its totient is φ = 418055454720.

The previous prime is 1682109332711. The next prime is 1682109332741. The reversal of 1682109332736 is 6372339012861.

It is a super-3 number, since 3×1682109332736³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 71182555 + ... + 71206181.

It is an arithmetic number, because the mean of its divisors is an integer number (10142082720).

Almost surely, 2^{1682109332736} is an apocalyptic number.

1682109332736 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 1682109332736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920919823360).

1682109332736 is an abundant number, since it is smaller than the sum of its proper divisors (4159730313984).

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

1682109332736 is a wasteful number, since it uses less digits than its factorization.

1682109332736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23730 (or 23716 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 1682109332736 in words is "one trillion, six hundred eighty-two billion, one hundred nine million, three hundred thirty-two thousand, seven hundred thirty-six".