5745334400 has 192 divisors, whose sum is σ = 15394639680. Its totient is φ = 2106101760.

The previous prime is 5745334369. The next prime is 5745334429. The reversal of 5745334400 is 44335475.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6946787 + ... + 6947613.

It is an arithmetic number, because the mean of its divisors is an integer number (80180415).

Almost surely, 2^5745334400 is an apocalyptic number.

5745334400 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 5745334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697319840).

5745334400 is an abundant number, since it is smaller than the sum of its proper divisors (9649305280).

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

5745334400 is a wasteful number, since it uses less digits than its factorization.

5745334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 35.

The square root of 5745334400 is about 75797.9841420601. The cubic root of 5745334400 is about 1791.0392516922.

Adding to 5745334400 its reverse (44335475), we get a palindrome (5789669875).

The spelling of 5745334400 in words is "five billion, seven hundred forty-five million, three hundred thirty-four thousand, four hundred".