642329136 has 40 divisors (see below), whose sum is σ = 1843723760. Its totient is φ = 214109568.

The previous prime is 642329131. The next prime is 642329153. The reversal of 642329136 is 631923246.

642329136 is a `hidden beast` number, since 642 + 3 + 2 + 9 + 1 + 3 + 6 = 666.

It is a super-3 number, since 3×642329136³ (a number of 27 digits) contains 333 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 642329136.

It is not an unprimeable number, because it can be changed into a prime (642329131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 743005 + ... + 743868.

It is an arithmetic number, because the mean of its divisors is an integer number (46093094).

Almost surely, 2^642329136 is an apocalyptic number.

It is an amenable number.

642329136 is an abundant number, since it is smaller than the sum of its proper divisors (1201394624).

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

642329136 is a wasteful number, since it uses less digits than its factorization.

642329136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486890 (or 1486878 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 642329136 is about 25344.2130672862. The cubic root of 642329136 is about 862.8180210991.

The spelling of 642329136 in words is "six hundred forty-two million, three hundred twenty-nine thousand, one hundred thirty-six".