168473755612800 has 960 divisors, whose sum is σ = 718119589904640. Its totient is φ = 38439633715200.

The previous prime is 168473755612759. The next prime is 168473755612847. The reversal of 168473755612800 is 8216557374861.

It is a happy number.

168473755612800 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 7 + 3 + 7 + 5 + 5 + 612 + 8 + 0 + 0 = 666.

168473755612800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46732497 + ... + 50208303.

It is an arithmetic number, because the mean of its divisors is an integer number (748041239484).

Almost surely, 2^{168473755612800} is an apocalyptic number.

168473755612800 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 168473755612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359059794952320).

168473755612800 is an abundant number, since it is smaller than the sum of its proper divisors (549645834291840).

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

168473755612800 is a wasteful number, since it uses less digits than its factorization.

168473755612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475871 (or 3475845 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 168473755612800 in words is "one hundred sixty-eight trillion, four hundred seventy-three billion, seven hundred fifty-five million, six hundred twelve thousand, eight hundred".