5475612960 has 480 divisors, whose sum is σ = 21191330160. Its totient is φ = 1325334528.

The previous prime is 5475612953. The next prime is 5475613061. The reversal of 5475612960 is 692165745.

5475612960 is a `hidden beast` number, since 5 + 4 + 7 + 561 + 29 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4478821776 + 996791184 = 66924^2 + 31572^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6388852 + ... + 6389708.

Almost surely, 2^5475612960 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 5475612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10595665080).

5475612960 is an abundant number, since it is smaller than the sum of its proper divisors (15715717200).

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

5475612960 is a wasteful number, since it uses less digits than its factorization.

5475612960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5475612960 is about 73997.3848186542. The cubic root of 5475612960 is about 1762.5613704298.

The spelling of 5475612960 in words is "five billion, four hundred seventy-five million, six hundred twelve thousand, nine hundred sixty".