4113635664 has 80 divisors (see below), whose sum is σ = 10767564800. Its totient is φ = 1353179520.

The previous prime is 4113635611. The next prime is 4113635671. The reversal of 4113635664 is 4665363114.

It is a super-2 number, since 2×4113635664² = 33843996752265441792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211409 + ... + 1214799.

It is an arithmetic number, because the mean of its divisors is an integer number (134594560).

Almost surely, 2^4113635664 is an apocalyptic number.

It is an amenable number.

4113635664 is an abundant number, since it is smaller than the sum of its proper divisors (6653929136).

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

4113635664 is a wasteful number, since it uses less digits than its factorization.

4113635664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3722 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 4113635664 is about 64137.6306391186. The cubic root of 4113635664 is about 1602.2930226263.

Adding to 4113635664 its reverse (4665363114), we get a palindrome (8778998778).

The spelling of 4113635664 in words is "four billion, one hundred thirteen million, six hundred thirty-five thousand, six hundred sixty-four".