4635434370560 has 400 divisors, whose sum is σ = 12995908244352. Its totient is φ = 1585601740800.

The previous prime is 4635434370521. The next prime is 4635434370563. The reversal of 4635434370560 is 650734345364.

It is a junction number, because it is equal to n+sod(n) for n = 4635434370499 and 4635434370508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635434370563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4677531665 + ... + 4677532655.

Almost surely, 2^{4635434370560} is an apocalyptic number.

4635434370560 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 4635434370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497954122176).

4635434370560 is an abundant number, since it is smaller than the sum of its proper divisors (8360473873792).

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

4635434370560 is an frugal number, since it uses more digits than its factorization.

4635434370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 50.

The spelling of 4635434370560 in words is "four trillion, six hundred thirty-five billion, four hundred thirty-four million, three hundred seventy thousand, five hundred sixty".