642642168 has 64 divisors (see below), whose sum is σ = 1932768000. Its totient is φ = 173947392.

The previous prime is 642642167. The next prime is 642642173. The reversal of 642642168 is 861246246.

It is a super-3 number, since 3×642642168³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642642163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97473 + ... + 103856.

It is an arithmetic number, because the mean of its divisors is an integer number (30199500).

Almost surely, 2^642642168 is an apocalyptic number.

It is an amenable number.

642642168 is an abundant number, since it is smaller than the sum of its proper divisors (1290125832).

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

642642168 is a wasteful number, since it uses less digits than its factorization.

642642168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201364 (or 201360 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 642642168 is about 25350.3879260259. The cubic root of 642642168 is about 862.9581599430.

The spelling of 642642168 in words is "six hundred forty-two million, six hundred forty-two thousand, one hundred sixty-eight".