642603506688 has 264 divisors, whose sum is σ = 2179896906096. Its totient is φ = 179748864000.

The previous prime is 642603506663. The next prime is 642603506693. The reversal of 642603506688 is 886605306246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1074088 + ... + 1561688.

Almost surely, 2^642603506688 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 642603506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089948453048).

642603506688 is an abundant number, since it is smaller than the sum of its proper divisors (1537293399408).

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

642603506688 is a wasteful number, since it uses less digits than its factorization.

642603506688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487651 (or 487630 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 642603506688 in words is "six hundred forty-two billion, six hundred three million, five hundred six thousand, six hundred eighty-eight".