5745674400 has 144 divisors (see below), whose sum is σ = 19158648768. Its totient is φ = 1494784000.

The previous prime is 5745674357. The next prime is 5745674401. The reversal of 5745674400 is 44765475.

It is not an unprimeable number, because it can be changed into a prime (5745674401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69205 + ... + 127595.

It is an arithmetic number, because the mean of its divisors is an integer number (133046172).

Almost surely, 2^5745674400 is an apocalyptic number.

5745674400 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 5745674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579324384).

5745674400 is an abundant number, since it is smaller than the sum of its proper divisors (13412974368).

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

5745674400 is a wasteful number, since it uses less digits than its factorization.

5745674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58455 (or 58442 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 5745674400 is about 75800.2269125891. The cubic root of 5745674400 is about 1791.0745813058.

The spelling of 5745674400 in words is "five billion, seven hundred forty-five million, six hundred seventy-four thousand, four hundred".