678171382200 has 960 divisors, whose sum is σ = 2645193196800. Its totient is φ = 159899443200.

The previous prime is 678171382159. The next prime is 678171382211. The reversal of 678171382200 is 2283171876.

678171382200 is a `hidden beast` number, since 67 + 8 + 1 + 7 + 1 + 382 + 200 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 711616924 + ... + 711617876.

It is an arithmetic number, because the mean of its divisors is an integer number (2755409580).

Almost surely, 2^678171382200 is an apocalyptic number.

678171382200 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 678171382200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322596598400).

678171382200 is an abundant number, since it is smaller than the sum of its proper divisors (1967021814600).

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

678171382200 is a wasteful number, since it uses less digits than its factorization.

678171382200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 678171382200 in words is "six hundred seventy-eight billion, one hundred seventy-one million, three hundred eighty-two thousand, two hundred".