642413624216 has 128 divisors (see below), whose sum is σ = 1553159516160. Its totient is φ = 242272166400.

The previous prime is 642413624207. The next prime is 642413624219. The reversal of 642413624216 is 612426314246.

It is a super-2 number, since 2×642413624216² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642413624219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1299626 + ... + 1724486.

It is an arithmetic number, because the mean of its divisors is an integer number (12134058720).

Almost surely, 2^642413624216 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 642413624216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776579758080).

642413624216 is an abundant number, since it is smaller than the sum of its proper divisors (910745891944).

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

642413624216 is a wasteful number, since it uses less digits than its factorization.

642413624216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424985 (or 424981 counting only the distinct ones).

The product of its digits is 331776, while the sum is 41.

The spelling of 642413624216 in words is "six hundred forty-two billion, four hundred thirteen million, six hundred twenty-four thousand, two hundred sixteen".