642329352 has 320 divisors, whose sum is σ = 2247696000. Its totient is φ = 167215104.

The previous prime is 642329341. The next prime is 642329407. The reversal of 642329352 is 253923246.

It is a happy number.

642329352 is a `hidden beast` number, since 642 + 3 + 2 + 9 + 3 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2499208 + ... + 2499464.

It is an arithmetic number, because the mean of its divisors is an integer number (7024050).

Almost surely, 2^642329352 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 642329352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123848000).

642329352 is an abundant number, since it is smaller than the sum of its proper divisors (1605366648).

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

642329352 is a wasteful number, since it uses less digits than its factorization.

642329352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 642329352 is about 25344.2173286136. The cubic root of 642329352 is about 862.8181178141.

The spelling of 642329352 in words is "six hundred forty-two million, three hundred twenty-nine thousand, three hundred fifty-two".