168264742464 has 1008 divisors, whose sum is σ = 639481909248. Its totient is φ = 41845579776.

The previous prime is 168264742423. The next prime is 168264742511. The reversal of 168264742464 is 464247462861.

168264742464 is a `hidden beast` number, since 1 + 6 + 82 + 64 + 7 + 42 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 168264742464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1071749874 + ... + 1071750030.

It is an arithmetic number, because the mean of its divisors is an integer number (634406656).

Almost surely, 2^168264742464 is an apocalyptic number.

168264742464 is a gapful number since it is divisible by the number (14) 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 168264742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319740954624).

168264742464 is an abundant number, since it is smaller than the sum of its proper divisors (471217166784).

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

168264742464 is a wasteful number, since it uses less digits than its factorization.

168264742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 332 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 168264742464 in words is "one hundred sixty-eight billion, two hundred sixty-four million, seven hundred forty-two thousand, four hundred sixty-four".