5745206880 has 720 divisors, whose sum is σ = 24089289840. Its totient is φ = 1285466112.

The previous prime is 5745206861. The next prime is 5745206881. The reversal of 5745206880 is 886025475.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5745206881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52708266 + ... + 52708374.

It is an arithmetic number, because the mean of its divisors is an integer number (33457347).

Almost surely, 2^5745206880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5745206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044644920).

5745206880 is an abundant number, since it is smaller than the sum of its proper divisors (18344082960).

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

5745206880 is a wasteful number, since it uses less digits than its factorization.

5745206880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5745206880 is about 75797.1429540718. The cubic root of 5745206880 is about 1791.0260006494.

The spelling of 5745206880 in words is "five billion, seven hundred forty-five million, two hundred six thousand, eight hundred eighty".