678563167200 has 288 divisors, whose sum is σ = 2327593024512. Its totient is φ = 171367680000.

The previous prime is 678563167169. The next prime is 678563167207. The reversal of 678563167200 is 2761365876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678563167207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5514345 + ... + 5636055.

It is an arithmetic number, because the mean of its divisors is an integer number (8081920224).

Almost surely, 2^678563167200 is an apocalyptic number.

678563167200 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 678563167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163796512256).

678563167200 is an abundant number, since it is smaller than the sum of its proper divisors (1649029857312).

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

678563167200 is a wasteful number, since it uses less digits than its factorization.

678563167200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121858 (or 121845 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 678563167200 in words is "six hundred seventy-eight billion, five hundred sixty-three million, one hundred sixty-seven thousand, two hundred".