642033105777 has 72 divisors (see below), whose sum is σ = 1162241997696. Its totient is φ = 333387919872.

The previous prime is 642033105697. The next prime is 642033105793. The reversal of 642033105777 is 777501330246.

642033105777 is a `hidden beast` number, since 6 + 42 + 0 + 3 + 31 + 0 + 577 + 7 = 666.

It is not a de Polignac number, because 642033105777 - 2¹² = 642033101681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (642033105797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 544308 + ... + 1257114.

It is an arithmetic number, because the mean of its divisors is an integer number (16142249968).

Almost surely, 2^642033105777 is an apocalyptic number.

It is an amenable number.

642033105777 is a deficient number, since it is larger than the sum of its proper divisors (520208891919).

642033105777 is a wasteful number, since it uses less digits than its factorization.

642033105777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712895 (or 712863 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 642033105777 in words is "six hundred forty-two billion, thirty-three million, one hundred five thousand, seven hundred seventy-seven".