4224956736 has 672 divisors, whose sum is σ = 16064179200. Its totient is φ = 948879360.

The previous prime is 4224956731. The next prime is 4224956753. The reversal of 4224956736 is 6376594224.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224956731) 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, 47471380 + ... + 47471468.

Almost surely, 2^4224956736 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 4224956736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032089600).

4224956736 is an abundant number, since it is smaller than the sum of its proper divisors (11839222464).

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

4224956736 is a wasteful number, since it uses less digits than its factorization.

4224956736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 4224956736 is about 64999.6671991480. The cubic root of 4224956736 is about 1616.6180444842.

The spelling of 4224956736 in words is "four billion, two hundred twenty-four million, nine hundred fifty-six thousand, seven hundred thirty-six".