168366621340800 has 2304 divisors, whose sum is σ = 691456456454400. Its totient is φ = 39864877056000.

The previous prime is 168366621340789. The next prime is 168366621340823. The reversal of 168366621340800 is 8043126663861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 164903644290 + ... + 164903645310.

It is an arithmetic number, because the mean of its divisors is an integer number (300111309225).

Almost surely, 2^{168366621340800} is an apocalyptic number.

168366621340800 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 168366621340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345728228227200).

168366621340800 is an abundant number, since it is smaller than the sum of its proper divisors (523089835113600).

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

168366621340800 is a wasteful number, since it uses less digits than its factorization.

168366621340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 168366621340800 in words is "one hundred sixty-eight trillion, three hundred sixty-six billion, six hundred twenty-one million, three hundred forty thousand, eight hundred".