4584640500 has 480 divisors, whose sum is σ = 16781821056. Its totient is φ = 1080000000.

The previous prime is 4584640493. The next prime is 4584640513. The reversal of 4584640500 is 50464854.

4584640500 is a `hidden beast` number, since 4 + 5 + 8 + 4 + 640 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18265375 + ... + 18265625.

Almost surely, 2^4584640500 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 4584640500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8390910528).

4584640500 is an abundant number, since it is smaller than the sum of its proper divisors (12197180556).

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

4584640500 is a wasteful number, since it uses less digits than its factorization.

4584640500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4584640500 is about 67709.9734160338. The cubic root of 4584640500 is about 1661.2503885369.

The spelling of 4584640500 in words is "four billion, five hundred eighty-four million, six hundred forty thousand, five hundred".