4580064000 has 864 divisors, whose sum is σ = 18570639360. Its totient is φ = 1119744000.

The previous prime is 4580063963. The next prime is 4580064029. The reversal of 4580064000 is 4600854.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147743985 + ... + 147744015.

Almost surely, 2^4580064000 is an apocalyptic number.

4580064000 is a gapful number since it is divisible by the number (40) 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 4580064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285319680).

4580064000 is an abundant number, since it is smaller than the sum of its proper divisors (13990575360).

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

4580064000 is an equidigital number, since it uses as much as digits as its factorization.

4580064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4580064000 is about 67676.1701044023. The cubic root of 4580064000 is about 1660.6974376171.

Adding to 4580064000 its reverse (4600854), we get a palindrome (4584664854).

The spelling of 4580064000 in words is "four billion, five hundred eighty million, sixty-four thousand".