4427466624 has 384 divisors, whose sum is σ = 15275520000. Its totient is φ = 1204346880.

The previous prime is 4427466623. The next prime is 4427466649. The reversal of 4427466624 is 4266647244.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4427466624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4427466623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22248477 + ... + 22248675.

It is an arithmetic number, because the mean of its divisors is an integer number (39780000).

Almost surely, 2^4427466624 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 4427466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637760000).

4427466624 is an abundant number, since it is smaller than the sum of its proper divisors (10848053376).

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

4427466624 is a wasteful number, since it uses less digits than its factorization.

4427466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The square root of 4427466624 is about 66539.2111765687. The cubic root of 4427466624 is about 1642.0451661386.

The spelling of 4427466624 in words is "four billion, four hundred twenty-seven million, four hundred sixty-six thousand, six hundred twenty-four".