642538314 has 72 divisors (see below), whose sum is σ = 1610874720. Its totient is φ = 184448880.

The previous prime is 642538313. The next prime is 642538349. The reversal of 642538314 is 413835246.

642538314 is a `hidden beast` number, since 642 + 5 + 3 + 8 + 3 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (642538313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33619 + ... + 49145.

It is an arithmetic number, because the mean of its divisors is an integer number (22373260).

Almost surely, 2^642538314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642538314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805437360).

642538314 is an abundant number, since it is smaller than the sum of its proper divisors (968336406).

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

642538314 is a wasteful number, since it uses less digits than its factorization.

642538314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15576 (or 15562 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 642538314 is about 25348.3394722416. The cubic root of 642538314 is about 862.9116714048.

The spelling of 642538314 in words is "six hundred forty-two million, five hundred thirty-eight thousand, three hundred fourteen".