642122684032 has 32 divisors (see below), whose sum is σ = 1313802545220. Its totient is φ = 312384006144.

The previous prime is 642122684011. The next prime is 642122684033. The reversal of 642122684032 is 230486221246.

It can be written as a sum of positive squares in 2 ways, for example, as 528273126976 + 113849557056 = 726824^2 + 337416^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (642122684033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67786933 + ... + 67796404.

Almost surely, 2^642122684032 is an apocalyptic number.

It is an amenable number.

642122684032 is an abundant number, since it is smaller than the sum of its proper divisors (671679861188).

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

642122684032 is a wasteful number, since it uses less digits than its factorization.

642122684032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135583388 (or 135583376 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 642122684032 in words is "six hundred forty-two billion, one hundred twenty-two million, six hundred eighty-four thousand, thirty-two".