676166815843200 has 960 divisors, whose sum is σ = 2722404423871440. Its totient is φ = 163897344000000.

The previous prime is 676166815843199. The next prime is 676166815843213. The reversal of 676166815843200 is 2348518661676.

676166815843200 is a `hidden beast` number, since 6 + 7 + 6 + 16 + 6 + 8 + 1 + 584 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 34673433450 + ... + 34673452950.

Almost surely, 2^{676166815843200} is an apocalyptic number.

676166815843200 is a gapful number since it is divisible by the number (60) 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 676166815843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361202211935720).

676166815843200 is an abundant number, since it is smaller than the sum of its proper divisors (2046237608028240).

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

676166815843200 is a wasteful number, since it uses less digits than its factorization.

676166815843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31709 (or 31683 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 676166815843200 in words is "six hundred seventy-six trillion, one hundred sixty-six billion, eight hundred fifteen million, eight hundred forty-three thousand, two hundred".