168364824480 has 672 divisors, whose sum is σ = 629686358784. Its totient is φ = 42436804608.

The previous prime is 168364824473. The next prime is 168364824497. The reversal of 168364824480 is 84428463861.

It is a happy number.

168364824480 is a `hidden beast` number, since 1 + 6 + 83 + 6 + 4 + 82 + 4 + 480 = 666.

168364824480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 260223517 + ... + 260224163.

It is an arithmetic number, because the mean of its divisors is an integer number (937033272).

Almost surely, 2^168364824480 is an apocalyptic number.

168364824480 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 168364824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314843179392).

168364824480 is an abundant number, since it is smaller than the sum of its proper divisors (461321534304).

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

168364824480 is an equidigital number, since it uses as much as digits as its factorization.

168364824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 168364824480 in words is "one hundred sixty-eight billion, three hundred sixty-four million, eight hundred twenty-four thousand, four hundred eighty".