5476584960 has 1000 divisors, whose sum is σ = 24963565176. Its totient is φ = 1137991680.

The previous prime is 5476584937. The next prime is 5476584977. The reversal of 5476584960 is 694856745.

5476584960 is a `hidden beast` number, since 5 + 476 + 5 + 84 + 96 + 0 = 666.

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 = 5476584897 and 5476584906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 497871355 + ... + 497871365.

Almost surely, 2^5476584960 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 5476584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481782588).

5476584960 is an abundant number, since it is smaller than the sum of its proper divisors (19486980216).

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

5476584960 is an frugal number, since it uses more digits than its factorization.

5476584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 5476584960 is about 74003.9523268859. The cubic root of 5476584960 is about 1762.6656575846.

The spelling of 5476584960 in words is "five billion, four hundred seventy-six million, five hundred eighty-four thousand, nine hundred sixty".