5064130800 has 960 divisors, whose sum is σ = 21034368000. Its totient is φ = 1149603840.

The previous prime is 5064130783. The next prime is 5064130817. The reversal of 5064130800 is 80314605.

It is an interprime number because it is at equal distance from previous prime (5064130783) and next prime (5064130817).

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 191 ways as a sum of consecutive naturals, for example, 136868382 + ... + 136868418.

It is an arithmetic number, because the mean of its divisors is an integer number (21910800).

Almost surely, 2^5064130800 is an apocalyptic number.

5064130800 is a gapful number since it is divisible by the number (50) 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 5064130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10517184000).

5064130800 is an abundant number, since it is smaller than the sum of its proper divisors (15970237200).

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

5064130800 is a wasteful number, since it uses less digits than its factorization.

5064130800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5064130800 is about 71162.7065252580. The cubic root of 5064130800 is about 1717.2557193431.

The spelling of 5064130800 in words is "five billion, sixty-four million, one hundred thirty thousand, eight hundred".