5064321600 has 378 divisors, whose sum is σ = 19500268086. Its totient is φ = 1246003200.

The previous prime is 5064321589. The next prime is 5064321611. The reversal of 5064321600 is 61234605.

5064321600 is a `hidden beast` number, since 5 + 0 + 643 + 2 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5064321589) and next prime (5064321611).

It can be written as a sum of positive squares in 9 ways, for example, as 3522659904 + 1541661696 = 59352^2 + 39264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2432560 + ... + 2434640.

Almost surely, 2^5064321600 is an apocalyptic number.

5064321600 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 5064321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9750134043).

5064321600 is an abundant number, since it is smaller than the sum of its proper divisors (14435946486).

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

5064321600 is a wasteful number, since it uses less digits than its factorization.

5064321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5064321600 is about 71164.0471024520. The cubic root of 5064321600 is about 1717.2772859448.

The spelling of 5064321600 in words is "five billion, sixty-four million, three hundred twenty-one thousand, six hundred".