642036042600 has 96 divisors (see below), whose sum is σ = 1992263007840. Its totient is φ = 171041760000.

The previous prime is 642036042587. The next prime is 642036042643. The reversal of 642036042600 is 6240630246.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 88575 + ... + 1136625.

It is an arithmetic number, because the mean of its divisors is an integer number (20752739665).

Almost surely, 2^642036042600 is an apocalyptic number.

642036042600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642036042600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996131503920).

642036042600 is an abundant number, since it is smaller than the sum of its proper divisors (1350226965240).

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

642036042600 is a wasteful number, since it uses less digits than its factorization.

642036042600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049091 (or 1049082 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 642036042600 its reverse (6240630246), we get a palindrome (648276672846).

The spelling of 642036042600 in words is "six hundred forty-two billion, thirty-six million, forty-two thousand, six hundred".