4136903680 has 264 divisors, whose sum is σ = 12298900032. Its totient is φ = 1307344896.

The previous prime is 4136903647. The next prime is 4136903707. The reversal of 4136903680 is 863096314.

It is a super-2 number, since 2×4136903680² = 34227944115195084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6056619 + ... + 6057301.

Almost surely, 2^4136903680 is an apocalyptic number.

4136903680 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 4136903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149450016).

4136903680 is an abundant number, since it is smaller than the sum of its proper divisors (8161996352).

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

4136903680 is a wasteful number, since it uses less digits than its factorization.

4136903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 4136903680 is about 64318.7661573199. The cubic root of 4136903680 is about 1605.3083687860.

Adding to 4136903680 its reverse (863096314), we get a palindrome (4999999994).

The spelling of 4136903680 in words is "four billion, one hundred thirty-six million, nine hundred three thousand, six hundred eighty".