168564352320 has 896 divisors, whose sum is σ = 735528729600. Its totient is φ = 35388555264.

The previous prime is 168564352289. The next prime is 168564352321. The reversal of 168564352320 is 23253465861.

168564352320 is a `hidden beast` number, since 1 + 6 + 8 + 564 + 3 + 52 + 32 + 0 = 666.

It is a super-2 number, since 2×168564352320² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168564352321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211498162 + ... + 211498958.

It is an arithmetic number, because the mean of its divisors is an integer number (820902600).

Almost surely, 2^168564352320 is an apocalyptic number.

168564352320 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 168564352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367764364800).

168564352320 is an abundant number, since it is smaller than the sum of its proper divisors (566964377280).

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

168564352320 is a wasteful number, since it uses less digits than its factorization.

168564352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 168564352320 in words is "one hundred sixty-eight billion, five hundred sixty-four million, three hundred fifty-two thousand, three hundred twenty".