4113605664 has 216 divisors, whose sum is σ = 13926472560. Its totient is φ = 1147813632.

The previous prime is 4113605663. The next prime is 4113605687. The reversal of 4113605664 is 4665063114.

It is a happy number.

4113605664 is a `hidden beast` number, since 41 + 1 + 3 + 605 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4113605663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 603427 + ... + 610205.

It is an arithmetic number, because the mean of its divisors is an integer number (64474410).

Almost surely, 2^4113605664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963236280).

4113605664 is an abundant number, since it is smaller than the sum of its proper divisors (9812866896).

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

4113605664 is a wasteful number, since it uses less digits than its factorization.

4113605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6852 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4113605664 is about 64137.3967666291. The cubic root of 4113605664 is about 1602.2891275392.

Adding to 4113605664 its reverse (4665063114), we get a palindrome (8778668778).

The spelling of 4113605664 in words is "four billion, one hundred thirteen million, six hundred five thousand, six hundred sixty-four".