4115610664 has 64 divisors (see below), whose sum is σ = 8525088000. Its totient is φ = 1847128320.

The previous prime is 4115610617. The next prime is 4115610673. The reversal of 4115610664 is 4660165114.

It is a super-2 number, since 2×4115610664² = 33876502275261041792, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3730737 + ... + 3731839.

It is an arithmetic number, because the mean of its divisors is an integer number (133204500).

Almost surely, 2^4115610664 is an apocalyptic number.

4115610664 is a gapful number since it is divisible by the number (44) 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 4115610664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262544000).

4115610664 is an abundant number, since it is smaller than the sum of its proper divisors (4409477336).

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

4115610664 is a wasteful number, since it uses less digits than its factorization.

4115610664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 4115610664 is about 64153.0253690346. The cubic root of 4115610664 is about 1602.5494075432.

Adding to 4115610664 its reverse (4660165114), we get a palindrome (8775775778).

The spelling of 4115610664 in words is "four billion, one hundred fifteen million, six hundred ten thousand, six hundred sixty-four".