5745890304 has 352 divisors, whose sum is σ = 21223296000. Its totient is φ = 1491886080.

The previous prime is 5745890273. The next prime is 5745890317. The reversal of 5745890304 is 4030985475.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 5745890304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127547 + ... + 2130245.

Almost surely, 2^5745890304 is an apocalyptic number.

5745890304 is a gapful number since it is divisible by the number (54) 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 5745890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611648000).

5745890304 is an abundant number, since it is smaller than the sum of its proper divisors (15477405696).

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

5745890304 is a wasteful number, since it uses less digits than its factorization.

5745890304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5745890304 is about 75801.6510638126. The cubic root of 5745890304 is about 1791.0970153026.

The spelling of 5745890304 in words is "five billion, seven hundred forty-five million, eight hundred ninety thousand, three hundred four".