642557303755246 has 96 divisors (see below), whose sum is σ = 1074531152268000. Its totient is φ = 287926520555520.

The previous prime is 642557303755223. The next prime is 642557303755249.

642557303755246 is nontrivially palindromic in base 10.

642557303755246 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×642557303755246² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642557303755249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26260043500 + ... + 26260067968.

It is an arithmetic number, because the mean of its divisors is an integer number (11193032836125).

Almost surely, 2^{642557303755246} is an apocalyptic number.

642557303755246 is a deficient number, since it is larger than the sum of its proper divisors (431973848512754).

642557303755246 is a wasteful number, since it uses less digits than its factorization.

642557303755246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28178 (or 28167 counting only the distinct ones).

The product of its (nonzero) digits is 635040000, while the sum is 64.

The spelling of 642557303755246 in words is "six hundred forty-two trillion, five hundred fifty-seven billion, three hundred three million, seven hundred fifty-five thousand, two hundred forty-six".