5064459120 has 960 divisors, whose sum is σ = 22658073600. Its totient is φ = 1015234560.

The previous prime is 5064459091. The next prime is 5064459121. The reversal of 5064459120 is 219544605.

5064459120 is a `hidden beast` number, since 5 + 0 + 6 + 44 + 591 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5064459121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83023890 + ... + 83023950.

It is an arithmetic number, because the mean of its divisors is an integer number (23602160).

Almost surely, 2^5064459120 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 5064459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11329036800).

5064459120 is an abundant number, since it is smaller than the sum of its proper divisors (17593614480).

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

5064459120 is a wasteful number, since it uses less digits than its factorization.

5064459120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5064459120 is about 71165.0133141279. The cubic root of 5064459120 is about 1717.2928298388.

The spelling of 5064459120 in words is "five billion, sixty-four million, four hundred fifty-nine thousand, one hundred twenty".