506624100642 has 24 divisors (see below), whose sum is σ = 1197475147440. Its totient is φ = 153522454680.

The previous prime is 506624100637. The next prime is 506624100649. The reversal of 506624100642 is 246001426605.

506624100642 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 2 + 4 + 1 + 0 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506624100597 and 506624100606.

It is not an unprimeable number, because it can be changed into a prime (506624100649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1279353592 + ... + 1279353987.

It is an arithmetic number, because the mean of its divisors is an integer number (49894797810).

Almost surely, 2^506624100642 is an apocalyptic number.

506624100642 is an abundant number, since it is smaller than the sum of its proper divisors (690851046798).

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

506624100642 is a wasteful number, since it uses less digits than its factorization.

506624100642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558707598 (or 2558707595 counting only the distinct ones).

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

The spelling of 506624100642 in words is "five hundred six billion, six hundred twenty-four million, one hundred thousand, six hundred forty-two".