5766266880 has 600 divisors, whose sum is σ = 22837288320. Its totient is φ = 1380188160.

The previous prime is 5766266867. The next prime is 5766266893. The reversal of 5766266880 is 886626675.

5766266880 is a `hidden beast` number, since 5 + 7 + 6 + 626 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5766266867) and next prime (5766266893).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 72990681 + ... + 72990759.

Almost surely, 2^5766266880 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 5766266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418644160).

5766266880 is an abundant number, since it is smaller than the sum of its proper divisors (17071021440).

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

5766266880 is an equidigital number, since it uses as much as digits as its factorization.

5766266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 5766266880 is about 75935.9393172956. The cubic root of 5766266880 is about 1793.2117654434.

The spelling of 5766266880 in words is "five billion, seven hundred sixty-six million, two hundred sixty-six thousand, eight hundred eighty".