642006242208 has 36 divisors (see below), whose sum is σ = 1825705252098. Its totient is φ = 214002080640.

The previous prime is 642006242203. The next prime is 642006242279. The reversal of 642006242208 is 802242600246.

642006242208 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 0 + 624 + 2 + 20 + 8 = 666.

642006242208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 366494630544 + 275511611664 = 605388^2 + 524892^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (642006242201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1114593883 + ... + 1114594458.

Almost surely, 2^642006242208 is an apocalyptic number.

It is an amenable number.

642006242208 is an abundant number, since it is smaller than the sum of its proper divisors (1183699009890).

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

642006242208 is a wasteful number, since it uses less digits than its factorization.

642006242208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229188357 (or 2229188346 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 642006242208 in words is "six hundred forty-two billion, six million, two hundred forty-two thousand, two hundred eight".