4587000672 has 96 divisors (see below), whose sum is σ = 12692937600. Its totient is φ = 1446432768.

The previous prime is 4587000659. The next prime is 4587000679. The reversal of 4587000672 is 2760007854.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4587000672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4587000679) 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 15 ways as a sum of consecutive naturals, for example, 1693143 + ... + 1695849.

It is an arithmetic number, because the mean of its divisors is an integer number (132218100).

Almost surely, 2^4587000672 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 4587000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346468800).

4587000672 is an abundant number, since it is smaller than the sum of its proper divisors (8105936928).

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

4587000672 is a wasteful number, since it uses less digits than its factorization.

4587000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 4587000672 is about 67727.3997138529. The cubic root of 4587000672 is about 1661.5354100873.

The spelling of 4587000672 in words is "four billion, five hundred eighty-seven million, six hundred seventy-two", and thus it is an aban number.