642215204505 has 128 divisors (see below), whose sum is σ = 1337777664000. Its totient is φ = 292188254400.

The previous prime is 642215204483. The next prime is 642215204539. The reversal of 642215204505 is 505402512246.

642215204505 is a `hidden beast` number, since 64 + 2 + 21 + 520 + 4 + 50 + 5 = 666.

It is not a de Polignac number, because 642215204505 - 2¹⁰ = 642215203481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 642215204505.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9737490 + ... + 9803220.

It is an arithmetic number, because the mean of its divisors is an integer number (10451388000).

Almost surely, 2^642215204505 is an apocalyptic number.

It is an amenable number.

642215204505 is an abundant number, since it is smaller than the sum of its proper divisors (695562459495).

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

642215204505 is a wasteful number, since it uses less digits than its factorization.

642215204505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65977 (or 65957 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 642215204505 in words is "six hundred forty-two billion, two hundred fifteen million, two hundred four thousand, five hundred five".