5761549440 has 448 divisors, whose sum is σ = 21131056440. Its totient is φ = 1500954624.

The previous prime is 5761549429. The next prime is 5761549447. The reversal of 5761549440 is 449451675.

5761549440 is a `hidden beast` number, since 5 + 7 + 61 + 549 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4397281344 + 1364268096 = 66312^2 + 36936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5761549447) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 24727564 + ... + 24727796.

Almost surely, 2^5761549440 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 5761549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565528220).

5761549440 is an abundant number, since it is smaller than the sum of its proper divisors (15369507000).

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

5761549440 is an equidigital number, since it uses as much as digits as its factorization.

5761549440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 296 counting only the distinct ones).

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

The square root of 5761549440 is about 75904.8709899437. The cubic root of 5761549440 is about 1792.7226172629.

The spelling of 5761549440 in words is "five billion, seven hundred sixty-one million, five hundred forty-nine thousand, four hundred forty".