5476182768 has 240 divisors, whose sum is σ = 18589122720. Its totient is φ = 1538611200.

The previous prime is 5476182739. The next prime is 5476182773. The reversal of 5476182768 is 8672816745.

5476182768 is a `hidden beast` number, since 547 + 6 + 18 + 27 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1289128 + ... + 1293368.

It is an arithmetic number, because the mean of its divisors is an integer number (77454678).

Almost surely, 2^5476182768 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 5476182768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9294561360).

5476182768 is an abundant number, since it is smaller than the sum of its proper divisors (13112939952).

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

5476182768 is a wasteful number, since it uses less digits than its factorization.

5476182768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4314 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 5476182768 is about 74001.2349086149. The cubic root of 5476182768 is about 1762.6225073741.

The spelling of 5476182768 in words is "five billion, four hundred seventy-six million, one hundred eighty-two thousand, seven hundred sixty-eight".