5766153360 has 480 divisors, whose sum is σ = 20946159360. Its totient is φ = 1308426240.

The previous prime is 5766153359. The next prime is 5766153377. The reversal of 5766153360 is 633516675.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 59444832 + ... + 59444928.

It is an arithmetic number, because the mean of its divisors is an integer number (43637832).

Almost surely, 2^5766153360 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 5766153360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473079680).

5766153360 is an abundant number, since it is smaller than the sum of its proper divisors (15180006000).

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

5766153360 is a wasteful number, since it uses less digits than its factorization.

5766153360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 5766153360 is about 75935.1918414644. The cubic root of 5766153360 is about 1793.1999977642.

It can be divided in two parts, 576615 and 3360, that added together give a palindrome (579975).

The spelling of 5766153360 in words is "five billion, seven hundred sixty-six million, one hundred fifty-three thousand, three hundred sixty".