4588970672 has 320 divisors, whose sum is σ = 11759247360. Its totient is φ = 1703116800.

The previous prime is 4588970671. The next prime is 4588970677. The reversal of 4588970672 is 2760798854.

It is a super-2 number, since 2×4588970672² = 42117303656952263168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4588970671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47308928 + ... + 47309024.

It is an arithmetic number, because the mean of its divisors is an integer number (36747648).

Almost surely, 2^4588970672 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 4588970672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879623680).

4588970672 is an abundant number, since it is smaller than the sum of its proper divisors (7170276688).

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

4588970672 is a wasteful number, since it uses less digits than its factorization.

4588970672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The square root of 4588970672 is about 67741.9417495542. The cubic root of 4588970672 is about 1661.7732384283.

The spelling of 4588970672 in words is "four billion, five hundred eighty-eight million, nine hundred seventy thousand, six hundred seventy-two".