1689333034620 has 1152 divisors, whose sum is σ = 6581865185280. Its totient is φ = 318898944000.

The previous prime is 1689333034607. The next prime is 1689333034663. The reversal of 1689333034620 is 264303339861.

It is a super-2 number, since 2×1689333034620² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1689333034620.

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 383 ways as a sum of consecutive naturals, for example, 2495321722 + ... + 2495322398.

It is an arithmetic number, because the mean of its divisors is an integer number (5713424640).

Almost surely, 2^{1689333034620} is an apocalyptic number.

1689333034620 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 1689333034620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290932592640).

1689333034620 is an abundant number, since it is smaller than the sum of its proper divisors (4892532150660).

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

1689333034620 is a wasteful number, since it uses less digits than its factorization.

1689333034620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 1689333034620 in words is "one trillion, six hundred eighty-nine billion, three hundred thirty-three million, thirty-four thousand, six hundred twenty".