4672481824 has 96 divisors (see below), whose sum is σ = 10492130880. Its totient is φ = 2034450432.

The previous prime is 4672481797. The next prime is 4672481837. The reversal of 4672481824 is 4281842764.

It is a super-2 number, since 2×4672481824² = 43664172791220733952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439192 + ... + 449704.

It is an arithmetic number, because the mean of its divisors is an integer number (109293030).

Almost surely, 2^4672481824 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 4672481824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246065440).

4672481824 is an abundant number, since it is smaller than the sum of its proper divisors (5819649056).

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

4672481824 is a wasteful number, since it uses less digits than its factorization.

4672481824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10602 (or 10594 counting only the distinct ones).

The product of its digits is 688128, while the sum is 46.

The square root of 4672481824 is about 68355.5544487791. The cubic root of 4672481824 is about 1671.7931453535.

The spelling of 4672481824 in words is "four billion, six hundred seventy-two million, four hundred eighty-one thousand, eight hundred twenty-four".