4624224264 has 288 divisors, whose sum is σ = 14741157600. Its totient is φ = 1298288640.

The previous prime is 4624224263. The next prime is 4624224271.

4624224264 is a `hidden beast` number, since 4 + 624 + 2 + 2 + 4 + 26 + 4 = 666.

4624224264 is nontrivially palindromic in base 10.

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 not an unprimeable number, because it can be changed into a prime (4624224263) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20370919 + ... + 20371145.

It is an arithmetic number, because the mean of its divisors is an integer number (51184575).

Almost surely, 2^4624224264 is an apocalyptic number.

4624224264 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 4624224264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370578800).

4624224264 is an abundant number, since it is smaller than the sum of its proper divisors (10116933336).

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

4624224264 is a wasteful number, since it uses less digits than its factorization.

4624224264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 349 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 4624224264 is about 68001.6489800064. The cubic root of 4624224264 is about 1666.0177701839.

The spelling of 4624224264 in words is "four billion, six hundred twenty-four million, two hundred twenty-four thousand, two hundred sixty-four".