5762580480 has 216 divisors, whose sum is σ = 19997316612. Its totient is φ = 1535115264.

The previous prime is 5762580479. The next prime is 5762580487. The reversal of 5762580480 is 840852675.

5762580480 is a `hidden beast` number, since 5 + 7 + 62 + 580 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5549654016 + 212926464 = 74496^2 + 14592^2 .

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 (5762580487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5897752 + ... + 5898728.

Almost surely, 2^5762580480 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 5762580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998658306).

5762580480 is an abundant number, since it is smaller than the sum of its proper divisors (14234736132).

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

5762580480 is an frugal number, since it uses more digits than its factorization.

5762580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 987 counting only the distinct ones).

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

The square root of 5762580480 is about 75911.6623451232. The cubic root of 5762580480 is about 1792.8295479014.

The spelling of 5762580480 in words is "five billion, seven hundred sixty-two million, five hundred eighty thousand, four hundred eighty".