1682273326500 has 2304 divisors, whose sum is σ = 6769684905984. Its totient is φ = 360557568000.

The previous prime is 1682273326493. The next prime is 1682273326501. The reversal of 1682273326500 is 56233722861.

1682273326500 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 273 + 326 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1682273326501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 35793049477 + ... + 35793049523.

It is an arithmetic number, because the mean of its divisors is an integer number (2938231296).

Almost surely, 2^{1682273326500} is an apocalyptic number.

1682273326500 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 1682273326500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384842452992).

1682273326500 is an abundant number, since it is smaller than the sum of its proper divisors (5087411579484).

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

1682273326500 is a wasteful number, since it uses less digits than its factorization.

1682273326500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1682273326500 in words is "one trillion, six hundred eighty-two billion, two hundred seventy-three million, three hundred twenty-six thousand, five hundred".