642642600400 has 120 divisors (see below), whose sum is σ = 1548852679584. Its totient is φ = 256241932800.

The previous prime is 642642600367. The next prime is 642642600403. The reversal of 642642600400 is 4006246246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642642600403) by changing a digit.

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, 280261654 + ... + 280263946.

Almost surely, 2^642642600400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642642600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774426339792).

642642600400 is an abundant number, since it is smaller than the sum of its proper divisors (906210079184).

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

642642600400 is a wasteful number, since it uses less digits than its factorization.

642642600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 642642600400 its reverse (4006246246), we get a palindrome (646648846646).

The spelling of 642642600400 in words is "six hundred forty-two billion, six hundred forty-two million, six hundred thousand, four hundred".