4165607264 has 96 divisors (see below), whose sum is σ = 10207632960. Its totient is φ = 1629315072.

The previous prime is 4165607261. The next prime is 4165607269. The reversal of 4165607264 is 4627065614.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165607261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251132 + ... + 267204.

It is an arithmetic number, because the mean of its divisors is an integer number (106329510).

Almost surely, 2^4165607264 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 4165607264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103816480).

4165607264 is an abundant number, since it is smaller than the sum of its proper divisors (6042025696).

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

4165607264 is a wasteful number, since it uses less digits than its factorization.

4165607264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16192 (or 16184 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 4165607264 is about 64541.5158173404. The cubic root of 4165607264 is about 1609.0125838455.

The spelling of 4165607264 in words is "four billion, one hundred sixty-five million, six hundred seven thousand, two hundred sixty-four".