5765437440 has 576 divisors, whose sum is σ = 23753882880. Its totient is φ = 1313832960.

The previous prime is 5765437417. The next prime is 5765437471. The reversal of 5765437440 is 447345675.

5765437440 is a `hidden beast` number, since 576 + 5 + 4 + 3 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17418075 + ... + 17418405.

It is an arithmetic number, because the mean of its divisors is an integer number (41239380).

Almost surely, 2^5765437440 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 5765437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11876941440).

5765437440 is an abundant number, since it is smaller than the sum of its proper divisors (17988445440).

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

5765437440 is an equidigital number, since it uses as much as digits as its factorization.

5765437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The square root of 5765437440 is about 75930.4776753051. The cubic root of 5765437440 is about 1793.1257807026.

The spelling of 5765437440 in words is "five billion, seven hundred sixty-five million, four hundred thirty-seven thousand, four hundred forty".