642442526616 has 128 divisors (see below), whose sum is σ = 1792834560000. Its totient is φ = 190171198080.

The previous prime is 642442526591. The next prime is 642442526623. The reversal of 642442526616 is 616625244246.

It is a happy number.

It is a super-2 number, since 2×642442526616² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6439885 + ... + 6538883.

It is an arithmetic number, because the mean of its divisors is an integer number (14006520000).

Almost surely, 2^642442526616 is an apocalyptic number.

642442526616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642442526616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896417280000).

642442526616 is an abundant number, since it is smaller than the sum of its proper divisors (1150392033384).

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

642442526616 is a wasteful number, since it uses less digits than its factorization.

642442526616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99589 (or 99585 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 642442526616 in words is "six hundred forty-two billion, four hundred forty-two million, five hundred twenty-six thousand, six hundred sixteen".