642567168 has 220 divisors, whose sum is σ = 1965644032. Its totient is φ = 209018880.

The previous prime is 642567157. The next prime is 642567179. The reversal of 642567168 is 861765246.

642567168 is a `hidden beast` number, since 6 + 425 + 67 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (642567157) and next prime (642567179).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5059521 + ... + 5059647.

Almost surely, 2^642567168 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 642567168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982822016).

642567168 is an abundant number, since it is smaller than the sum of its proper divisors (1323076864).

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

642567168 is a wasteful number, since it uses less digits than its factorization.

642567168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 642567168 is about 25348.9086155598. The cubic root of 642567168 is about 862.9245879267.

The spelling of 642567168 in words is "six hundred forty-two million, five hundred sixty-seven thousand, one hundred sixty-eight".