5744666400 has 288 divisors, whose sum is σ = 20536685568. Its totient is φ = 1383244800.

The previous prime is 5744666381. The next prime is 5744666437. The reversal of 5744666400 is 46664475.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4408149 + ... + 4409451.

It is an arithmetic number, because the mean of its divisors is an integer number (71307936).

Almost surely, 2^5744666400 is an apocalyptic number.

5744666400 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 5744666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10268342784).

5744666400 is an abundant number, since it is smaller than the sum of its proper divisors (14792019168).

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

5744666400 is a wasteful number, since it uses less digits than its factorization.

5744666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 5744666400 is about 75793.5775643293. The cubic root of 5744666400 is about 1790.9698353329.

The spelling of 5744666400 in words is "five billion, seven hundred forty-four million, six hundred sixty-six thousand, four hundred".