5746476960 has 360 divisors, whose sum is σ = 23593947300. Its totient is φ = 1313335296.

The previous prime is 5746476947. The next prime is 5746476961. The reversal of 5746476960 is 696746475.

5746476960 is a `hidden beast` number, since 57 + 464 + 76 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5677321104 + 69155856 = 75348^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 5746476897 and 5746476906.

It is not an unprimeable number, because it can be changed into a prime (5746476961) 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 59 ways as a sum of consecutive naturals, for example, 630516 + ... + 639564.

Almost surely, 2^5746476960 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 5746476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796973650).

5746476960 is an abundant number, since it is smaller than the sum of its proper divisors (17847470340).

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

5746476960 is a wasteful number, since it uses less digits than its factorization.

5746476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 5746476960 is about 75805.5206432882. The cubic root of 5746476960 is about 1791.1579702922.

The spelling of 5746476960 in words is "five billion, seven hundred forty-six million, four hundred seventy-six thousand, nine hundred sixty".