5610576960 has 168 divisors, whose sum is σ = 19334293056. Its totient is φ = 1493345280.

The previous prime is 5610576949. The next prime is 5610576973. The reversal of 5610576960 is 696750165.

5610576960 is a `hidden beast` number, since 5 + 6 + 10 + 576 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1861855 + ... + 1864865.

Almost surely, 2^5610576960 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 5610576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9667146528).

5610576960 is an abundant number, since it is smaller than the sum of its proper divisors (13723716096).

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

5610576960 is a wasteful number, since it uses less digits than its factorization.

5610576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 5610576960 is about 74903.7846840866. The cubic root of 5610576960 is about 1776.9253152361.

The spelling of 5610576960 in words is "five billion, six hundred ten million, five hundred seventy-six thousand, nine hundred sixty".