4505844672 has 280 divisors, whose sum is σ = 15360115584. Its totient is φ = 1279369728.

The previous prime is 4505844659. The next prime is 4505844703. The reversal of 4505844672 is 2764485054.

4505844672 is a `hidden beast` number, since 4 + 5 + 0 + 584 + 4 + 67 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8237103 + ... + 8237649.

Almost surely, 2^4505844672 is an apocalyptic number.

4505844672 is a gapful number since it is divisible by the number (42) 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 4505844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680057792).

4505844672 is an abundant number, since it is smaller than the sum of its proper divisors (10854270912).

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

4505844672 is a wasteful number, since it uses less digits than its factorization.

4505844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4505844672 is about 67125.5888018869. The cubic root of 4505844672 is about 1651.6780812109.

The spelling of 4505844672 in words is "four billion, five hundred five million, eight hundred forty-four thousand, six hundred seventy-two".