4582956672 has 576 divisors, whose sum is σ = 16591760640. Its totient is φ = 1254113280.

The previous prime is 4582956643. The next prime is 4582956673. The reversal of 4582956672 is 2766592854.

4582956672 is a `hidden beast` number, since 4 + 5 + 8 + 2 + 9 + 566 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7257600) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4582956673) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47246928 + ... + 47247024.

It is an arithmetic number, because the mean of its divisors is an integer number (28805140).

Almost surely, 2^4582956672 is an apocalyptic number.

4582956672 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 4582956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8295880320).

4582956672 is an abundant number, since it is smaller than the sum of its proper divisors (12008803968).

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

4582956672 is an equidigital number, since it uses as much as digits as its factorization.

4582956672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 4582956672 is about 67697.5381531707. The cubic root of 4582956672 is about 1661.0469845518.

The spelling of 4582956672 in words is "four billion, five hundred eighty-two million, nine hundred fifty-six thousand, six hundred seventy-two".