642100135642200 has 72 divisors (see below), whose sum is σ = 2156386288871100. Its totient is φ = 171226702837440.

The previous prime is 642100135642139. The next prime is 642100135642289. The reversal of 642100135642200 is 2246531001246.

642100135642200 is a `hidden beast` number, since 6 + 4 + 2 + 1 + 0 + 0 + 1 + 3 + 5 + 642 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 178361146990 + ... + 178361150589.

Almost surely, 2^{642100135642200} is an apocalyptic number.

642100135642200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642100135642200 is an abundant number, since it is smaller than the sum of its proper divisors (1514286153228900).

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

642100135642200 is a wasteful number, since it uses less digits than its factorization.

642100135642200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356722297601 (or 356722297589 counting only the distinct ones).

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

Adding to 642100135642200 its reverse (2246531001246), we get a palindrome (644346666643446).

The spelling of 642100135642200 in words is "six hundred forty-two trillion, one hundred billion, one hundred thirty-five million, six hundred forty-two thousand, two hundred".