1681884633720 has 128 divisors (see below), whose sum is σ = 5312500992000. Its totient is φ = 424794263040.

The previous prime is 1681884633697. The next prime is 1681884633773. The reversal of 1681884633720 is 273364881861.

It is a super-2 number, since 2×1681884633720² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 31 ways as a sum of consecutive naturals, for example, 9554905 + ... + 9729335.

It is an arithmetic number, because the mean of its divisors is an integer number (41503914000).

Almost surely, 2^{1681884633720} is an apocalyptic number.

1681884633720 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 1681884633720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656250496000).

1681884633720 is an abundant number, since it is smaller than the sum of its proper divisors (3630616358280).

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

1681884633720 is a wasteful number, since it uses less digits than its factorization.

1681884633720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178693 (or 178689 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 1681884633720 in words is "one trillion, six hundred eighty-one billion, eight hundred eighty-four million, six hundred thirty-three thousand, seven hundred twenty".