5064897600 has 504 divisors, whose sum is σ = 21346980928. Its totient is φ = 1157068800.

The previous prime is 5064897599. The next prime is 5064897623. The reversal of 5064897600 is 67984605.

5064897600 is a `hidden beast` number, since 506 + 4 + 89 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 2720670 + ... + 2722530.

Almost surely, 2^5064897600 is an apocalyptic number.

5064897600 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 5064897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673490464).

5064897600 is an abundant number, since it is smaller than the sum of its proper divisors (16282083328).

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

5064897600 is a wasteful number, since it uses less digits than its factorization.

5064897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5064897600 is about 71168.0939747581. The cubic root of 5064897600 is about 1717.3423893812.

It can be divided in two parts, 506489 and 7600, that added together give a square (514089 = 717²).

The spelling of 5064897600 in words is "five billion, sixty-four million, eight hundred ninety-seven thousand, six hundred".