5766480720 has 1200 divisors, whose sum is σ = 27586234368. Its totient is φ = 1097349120.

The previous prime is 5766480703. The next prime is 5766480721. The reversal of 5766480720 is 270846675.

5766480720 is a `hidden beast` number, since 576 + 6 + 4 + 8 + 0 + 72 + 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 (5766480721) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45405297 + ... + 45405423.

Almost surely, 2^5766480720 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 5766480720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13793117184).

5766480720 is an abundant number, since it is smaller than the sum of its proper divisors (21819753648).

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

5766480720 is a wasteful number, since it uses less digits than its factorization.

5766480720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5766480720 is about 75937.3473331799. The cubic root of 5766480720 is about 1793.2339320474.

It can be divided in two parts, 57664 and 80720, that added together give a square (138384 = 372²).

The spelling of 5766480720 in words is "five billion, seven hundred sixty-six million, four hundred eighty thousand, seven hundred twenty".