642441350304 has 288 divisors, whose sum is σ = 1982219423184. Its totient is φ = 196199055360.

The previous prime is 642441350279. The next prime is 642441350381. The reversal of 642441350304 is 403053144246.

642441350304 is a `hidden beast` number, since 64 + 244 + 1 + 3 + 50 + 304 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 372768860304 + 269672490000 = 610548^2 + 519300^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 318512304 + ... + 318514320.

Almost surely, 2^642441350304 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 642441350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991109711592).

642441350304 is an abundant number, since it is smaller than the sum of its proper divisors (1339778072880).

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

642441350304 is a wasteful number, since it uses less digits than its factorization.

642441350304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 642441350304 in words is "six hundred forty-two billion, four hundred forty-one million, three hundred fifty thousand, three hundred four".