642182112 has 288 divisors, whose sum is σ = 2219083776. Its totient is φ = 173491200.

The previous prime is 642182071. The next prime is 642182117. The reversal of 642182112 is 211281246.

642182112 is a `hidden beast` number, since 642 + 1 + 8 + 2 + 1 + 12 = 666.

642182112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 (642182117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276453 + ... + 1276955.

It is an arithmetic number, because the mean of its divisors is an integer number (7705152).

Almost surely, 2^642182112 is an apocalyptic number.

642182112 is a gapful number since it is divisible by the number (62) 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 642182112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109541888).

642182112 is an abundant number, since it is smaller than the sum of its proper divisors (1576901664).

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

642182112 is a wasteful number, since it uses less digits than its factorization.

642182112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 642182112 is about 25341.3123574925. The cubic root of 642182112 is about 862.7521853619.

The spelling of 642182112 in words is "six hundred forty-two million, one hundred eighty-two thousand, one hundred twelve".