4580064276480 has 2496 divisors, whose sum is σ = 20997813288960. Its totient is φ = 944207953920.

The previous prime is 4580064276379. The next prime is 4580064276533. The reversal of 4580064276480 is 846724600854.

It is a happy number.

4580064276480 is a `hidden beast` number, since 4 + 5 + 80 + 0 + 6 + 427 + 64 + 80 = 666.

It is a super-4 number, since 4×4580064276480⁴ (a number of 52 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36063498177 + ... + 36063498303.

Almost surely, 2^{4580064276480} is an apocalyptic number.

4580064276480 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 4580064276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10498906644480).

4580064276480 is an abundant number, since it is smaller than the sum of its proper divisors (16417749012480).

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

4580064276480 is a wasteful number, since it uses less digits than its factorization.

4580064276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 4580064276480 in words is "four trillion, five hundred eighty billion, sixty-four million, two hundred seventy-six thousand, four hundred eighty".