5754660480 has 288 divisors, whose sum is σ = 21115343340. Its totient is φ = 1443889152.

The previous prime is 5754660427. The next prime is 5754660481. The reversal of 5754660480 is 840664575.

5754660480 is a `hidden beast` number, since 5 + 7 + 546 + 60 + 48 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2260431936 + 3494228544 = 47544^2 + 59112^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×5754660480³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 (5754660481) 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 35 ways as a sum of consecutive naturals, for example, 1662912 + ... + 1666368.

Almost surely, 2^5754660480 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 5754660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10557671670).

5754660480 is an abundant number, since it is smaller than the sum of its proper divisors (15360682860).

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

5754660480 is a wasteful number, since it uses less digits than its factorization.

5754660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5754660480 is about 75859.4785112579. The cubic root of 5754660480 is about 1792.0078257524.

The spelling of 5754660480 in words is "five billion, seven hundred fifty-four million, six hundred sixty thousand, four hundred eighty".