4511267072 has 90 divisors (see below), whose sum is σ = 9771105918. Its totient is φ = 2078748672.

The previous prime is 4511267063. The next prime is 4511267077. The reversal of 4511267072 is 2707621154.

It can be written as a sum of positive squares in 5 ways, for example, as 4475074816 + 36192256 = 66896^2 + 6016^2 .

It is a super-2 number, since 2×4511267072² = 40703061189822906368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4511267077) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7311308 + ... + 7311924.

Almost surely, 2^4511267072 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 4511267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885552959).

4511267072 is an abundant number, since it is smaller than the sum of its proper divisors (5259838846).

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

4511267072 is an frugal number, since it uses more digits than its factorization.

4511267072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 4511267072 is about 67165.9666200078. The cubic root of 4511267072 is about 1652.3403668762.

The spelling of 4511267072 in words is "four billion, five hundred eleven million, two hundred sixty-seven thousand, seventy-two".