638364463836 has 96 divisors (see below), whose sum is σ = 1645500165120. Its totient is φ = 191005152000.

The previous prime is 638364463819. The next prime is 638364463837.

638364463836 is nontrivially palindromic in base 10.

638364463836 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 638364463836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638364463837) 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, 4827610 + ... + 4958078.

It is an arithmetic number, because the mean of its divisors is an integer number (17140626720).

Almost surely, 2^638364463836 is an apocalyptic number.

638364463836 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 638364463836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822750082560).

638364463836 is an abundant number, since it is smaller than the sum of its proper divisors (1007135701284).

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

638364463836 is a wasteful number, since it uses less digits than its factorization.

638364463836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130955 (or 130953 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 60.

The spelling of 638364463836 in words is "six hundred thirty-eight billion, three hundred sixty-four million, four hundred sixty-three thousand, eight hundred thirty-six".