1679706705600 has 1512 divisors, whose sum is σ = 7941730384224. Its totient is φ = 328458240000.

The previous prime is 1679706705581. The next prime is 1679706705601. The reversal of 1679706705600 is 65076079761.

It is a happy number.

1679706705600 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 7 + 0 + 6 + 70 + 560 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679706705601) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 207341550 + ... + 207349650.

Almost surely, 2^{1679706705600} is an apocalyptic number.

1679706705600 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 1679706705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970865192112).

1679706705600 is an abundant number, since it is smaller than the sum of its proper divisors (6262023678624).

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

1679706705600 is a wasteful number, since it uses less digits than its factorization.

1679706705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8175 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 1679706705600 in words is "one trillion, six hundred seventy-nine billion, seven hundred six million, seven hundred five thousand, six hundred".