1678812849000 has 2304 divisors, whose sum is σ = 7602644275200. Its totient is φ = 325721088000.

The previous prime is 1678812848969. The next prime is 1678812849031. The reversal of 1678812849000 is 9482188761.

1678812849000 is a `hidden beast` number, since 1 + 6 + 78 + 81 + 2 + 8 + 490 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1678812848969) and next prime (1678812849031).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7956458895 + ... + 7956459105.

It is an arithmetic number, because the mean of its divisors is an integer number (3299758800).

Almost surely, 2^{1678812849000} is an apocalyptic number.

1678812849000 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 1678812849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801322137600).

1678812849000 is an abundant number, since it is smaller than the sum of its proper divisors (5923831426200).

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

1678812849000 is a wasteful number, since it uses less digits than its factorization.

1678812849000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1678812849000 in words is "one trillion, six hundred seventy-eight billion, eight hundred twelve million, eight hundred forty-nine thousand".