5741845200 has 720 divisors, whose sum is σ = 25991836416. Its totient is φ = 1139097600.

The previous prime is 5741845199. The next prime is 5741845231. The reversal of 5741845200 is 25481475.

5741845200 is a `hidden beast` number, since 57 + 4 + 1 + 84 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5568685 + ... + 5569715.

Almost surely, 2^5741845200 is an apocalyptic number.

5741845200 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 5741845200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12995918208).

5741845200 is an abundant number, since it is smaller than the sum of its proper divisors (20249991216).

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

5741845200 is a wasteful number, since it uses less digits than its factorization.

5741845200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5741845200 is about 75774.9642032248. The cubic root of 5741845200 is about 1790.6766061532.

The spelling of 5741845200 in words is "five billion, seven hundred forty-one million, eight hundred forty-five thousand, two hundred".