642483168 has 96 divisors (see below), whose sum is σ = 1764957600. Its totient is φ = 204374016.

The previous prime is 642483137. The next prime is 642483199. The reversal of 642483168 is 861384246.

It is an interprime number because it is at equal distance from previous prime (642483137) and next prime (642483199).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246480 + ... + 249072.

It is an arithmetic number, because the mean of its divisors is an integer number (18384975).

Almost surely, 2^642483168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642483168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882478800).

642483168 is an abundant number, since it is smaller than the sum of its proper divisors (1122474432).

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

642483168 is a wasteful number, since it uses less digits than its factorization.

642483168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 642483168 is about 25347.2516853406. The cubic root of 642483168 is about 862.8869841670.

The spelling of 642483168 in words is "six hundred forty-two million, four hundred eighty-three thousand, one hundred sixty-eight".