5743252800 has 504 divisors, whose sum is σ = 22386569400. Its totient is φ = 1390018560.

The previous prime is 5743252793. The next prime is 5743252897. The reversal of 5743252800 is 82523475.

5743252800 is a `hidden beast` number, since 57 + 4 + 325 + 280 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 143424576 + 5599828224 = 11976^2 + 74832^2 .

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

It is a congruent number.

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, 7098796 + ... + 7099604.

Almost surely, 2^5743252800 is an apocalyptic number.

5743252800 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 5743252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193284700).

5743252800 is an abundant number, since it is smaller than the sum of its proper divisors (16643316600).

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

5743252800 is a wasteful number, since it uses less digits than its factorization.

5743252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5743252800 is about 75784.2516622022. The cubic root of 5743252800 is about 1790.8229209331.

The spelling of 5743252800 in words is "five billion, seven hundred forty-three million, two hundred fifty-two thousand, eight hundred".