5765633280 has 432 divisors, whose sum is σ = 21971005056. Its totient is φ = 1384366080.

The previous prime is 5765633273. The next prime is 5765633281. The reversal of 5765633280 is 823365675.

5765633280 is a `hidden beast` number, since 5 + 7 + 6 + 5 + 633 + 2 + 8 + 0 = 666.

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 (5765633281) 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 47 ways as a sum of consecutive naturals, for example, 21922429 + ... + 21922691.

It is an arithmetic number, because the mean of its divisors is an integer number (50858808).

Almost surely, 2^5765633280 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 5765633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10985502528).

5765633280 is an abundant number, since it is smaller than the sum of its proper divisors (16205371776).

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

5765633280 is a wasteful number, since it uses less digits than its factorization.

5765633280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5765633280 is about 75931.7672650914. The cubic root of 5765633280 is about 1793.1460833989.

The spelling of 5765633280 in words is "five billion, seven hundred sixty-five million, six hundred thirty-three thousand, two hundred eighty".