642688638504 has 256 divisors, whose sum is σ = 1858105267200. Its totient is φ = 183202560000.

The previous prime is 642688638491. The next prime is 642688638583. The reversal of 642688638504 is 405836886246.

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 63 ways as a sum of consecutive naturals, for example, 575369754 + ... + 575370870.

It is an arithmetic number, because the mean of its divisors is an integer number (7258223700).

Almost surely, 2^642688638504 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 642688638504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929052633600).

642688638504 is an abundant number, since it is smaller than the sum of its proper divisors (1215416628696).

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

642688638504 is a wasteful number, since it uses less digits than its factorization.

642688638504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 642688638504 in words is "six hundred forty-two billion, six hundred eighty-eight million, six hundred thirty-eight thousand, five hundred four".