4264000065 has 96 divisors (see below), whose sum is σ = 8457714720. Its totient is φ = 1971744768.

The previous prime is 4264000063. The next prime is 4264000067. The reversal of 4264000065 is 5600004624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4264000063) and next prime (4264000067).

It can be written as a sum of positive squares in 16 ways, for example, as 1554172929 + 2709827136 = 39423^2 + 52056^2 .

It is not a de Polignac number, because 4264000065 - 2¹ = 4264000063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4264000063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 624309 + ... + 631101.

It is an arithmetic number, because the mean of its divisors is an integer number (88101195).

Almost surely, 2^4264000065 is an apocalyptic number.

4264000065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4264000065 is a deficient number, since it is larger than the sum of its proper divisors (4193714655).

4264000065 is a wasteful number, since it uses less digits than its factorization.

4264000065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4264000065 is about 65299.3113669662. The cubic root of 4264000065 is about 1621.5825698615.

Adding to 4264000065 its reverse (5600004624), we get a palindrome (9864004689).

The spelling of 4264000065 in words is "four billion, two hundred sixty-four million, sixty-five", and thus it is an aban number.