4113635680 has 192 divisors, whose sum is σ = 12162286080. Its totient is φ = 1277337600.

The previous prime is 4113635677. The next prime is 4113635681. The reversal of 4113635680 is 865363114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113635681) 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, 4668840 + ... + 4669720.

It is an arithmetic number, because the mean of its divisors is an integer number (63345240).

Almost surely, 2^4113635680 is an apocalyptic number.

4113635680 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 4113635680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081143040).

4113635680 is an abundant number, since it is smaller than the sum of its proper divisors (8048650400).

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

4113635680 is a wasteful number, since it uses less digits than its factorization.

4113635680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 4113635680 is about 64137.6307638503. The cubic root of 4113635680 is about 1602.2930247037.

Adding to 4113635680 its reverse (865363114), we get a palindrome (4978998794).

The spelling of 4113635680 in words is "four billion, one hundred thirteen million, six hundred thirty-five thousand, six hundred eighty".