4638563207760 has 320 divisors, whose sum is σ = 15761369422080. Its totient is φ = 1123262300160.

The previous prime is 4638563207741. The next prime is 4638563207797. The reversal of 4638563207760 is 677023658364.

It is a self number, because there is not a number n which added to its sum of digits gives 4638563207760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180188490 + ... + 180214230.

It is an arithmetic number, because the mean of its divisors is an integer number (49254279444).

Almost surely, 2^{4638563207760} is an apocalyptic number.

4638563207760 is a gapful number since it is divisible by the number (40) 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 4638563207760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880684711040).

4638563207760 is an abundant number, since it is smaller than the sum of its proper divisors (11122806214320).

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

4638563207760 is a wasteful number, since it uses less digits than its factorization.

4638563207760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27326 (or 27320 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 4638563207760 in words is "four trillion, six hundred thirty-eight billion, five hundred sixty-three million, two hundred seven thousand, seven hundred sixty".