5736463200 has 576 divisors, whose sum is σ = 23098521600. Its totient is φ = 1364428800.

The previous prime is 5736463199. The next prime is 5736463207. The reversal of 5736463200 is 23646375.

5736463200 is a `hidden beast` number, since 5 + 7 + 3 + 646 + 3 + 2 + 0 + 0 = 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 (5736463207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8704471 + ... + 8705129.

It is an arithmetic number, because the mean of its divisors is an integer number (40101600).

Almost surely, 2^5736463200 is an apocalyptic number.

5736463200 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 5736463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549260800).

5736463200 is an abundant number, since it is smaller than the sum of its proper divisors (17362058400).

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

5736463200 is a wasteful number, since it uses less digits than its factorization.

5736463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 5736463200 is about 75739.4428286874. The cubic root of 5736463200 is about 1790.1169466783.

The spelling of 5736463200 in words is "five billion, seven hundred thirty-six million, four hundred sixty-three thousand, two hundred".