642356352 has 256 divisors, whose sum is σ = 2109686400. Its totient is φ = 190771200.

The previous prime is 642356333. The next prime is 642356353. The reversal of 642356352 is 253653246.

642356352 is a `hidden beast` number, since 6 + 42 + 3 + 563 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (642356353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2318838 + ... + 2319114.

Almost surely, 2^642356352 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 642356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054843200).

642356352 is an abundant number, since it is smaller than the sum of its proper divisors (1467330048).

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

642356352 is a wasteful number, since it uses less digits than its factorization.

642356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 642356352 is about 25344.7499889030. The cubic root of 642356352 is about 862.8302070239.

The spelling of 642356352 in words is "six hundred forty-two million, three hundred fifty-six thousand, three hundred fifty-two".