4312624464 has 120 divisors (see below), whose sum is σ = 13150209920. Its totient is φ = 1352941056.

The previous prime is 4312624451. The next prime is 4312624513. The reversal of 4312624464 is 4644262134.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107577 + ... + 142119.

Almost surely, 2^4312624464 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 4312624464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575104960).

4312624464 is an abundant number, since it is smaller than the sum of its proper divisors (8837585456).

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

4312624464 is a wasteful number, since it uses less digits than its factorization.

4312624464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34594 (or 34565 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 4312624464 is about 65670.5753286813. The cubic root of 4312624464 is about 1627.7231769378.

Adding to 4312624464 its reverse (4644262134), we get a palindrome (8956886598).

The spelling of 4312624464 in words is "four billion, three hundred twelve million, six hundred twenty-four thousand, four hundred sixty-four".