168362986936320 has 1728 divisors, whose sum is σ = 673726024258560. Its totient is φ = 38523174912000.

The previous prime is 168362986936247. The next prime is 168362986936337. The reversal of 168362986936320 is 23639689263861.

168362986936320 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 6 + 298 + 6 + 9 + 3 + 6 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52828045767 + ... + 52828048953.

It is an arithmetic number, because the mean of its divisors is an integer number (389887745520).

Almost surely, 2^{168362986936320} is an apocalyptic number.

168362986936320 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 168362986936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336863012129280).

168362986936320 is an abundant number, since it is smaller than the sum of its proper divisors (505363037322240).

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

168362986936320 is a wasteful number, since it uses less digits than its factorization.

168362986936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 72.

The spelling of 168362986936320 in words is "one hundred sixty-eight trillion, three hundred sixty-two billion, nine hundred eighty-six million, nine hundred thirty-six thousand, three hundred twenty".