642468864246 has 64 divisors (see below), whose sum is σ = 1442523168000. Its totient is φ = 189045740160.

The previous prime is 642468864203. The next prime is 642468864313.

642468864246 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 642468864246.

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, 954940 + ... + 1482176.

It is an arithmetic number, because the mean of its divisors is an integer number (22539424500).

Almost surely, 2^642468864246 is an apocalyptic number.

642468864246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 642468864246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721261584000).

642468864246 is an abundant number, since it is smaller than the sum of its proper divisors (800054303754).

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

642468864246 is a wasteful number, since it uses less digits than its factorization.

642468864246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527789.

The product of its digits is 84934656, while the sum is 60.

The spelling of 642468864246 in words is "six hundred forty-two billion, four hundred sixty-eight million, eight hundred sixty-four thousand, two hundred forty-six".