1682018674560 has 768 divisors, whose sum is σ = 6956471808000. Its totient is φ = 366158757888.

The previous prime is 1682018674529. The next prime is 1682018674591. The reversal of 1682018674560 is 654768102861.

1682018674560 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 0 + 1 + 8 + 6 + 74 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1682018674529) and next prime (1682018674591).

It is a junction number, because it is equal to n+sod(n) for n = 1682018674497 and 1682018674506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221635246 + ... + 221642834.

It is an arithmetic number, because the mean of its divisors is an integer number (9057906000).

Almost surely, 2^{1682018674560} is an apocalyptic number.

1682018674560 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 1682018674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478235904000).

1682018674560 is an abundant number, since it is smaller than the sum of its proper divisors (5274453133440).

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

1682018674560 is a wasteful number, since it uses less digits than its factorization.

1682018674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7883 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1682018674560 in words is "one trillion, six hundred eighty-two billion, eighteen million, six hundred seventy-four thousand, five hundred sixty".