5476648320 has 768 divisors, whose sum is σ = 22789166400. Its totient is φ = 1194393600.

The previous prime is 5476648319. The next prime is 5476648337. The reversal of 5476648320 is 238466745.

5476648320 is a `hidden beast` number, since 547 + 6 + 6 + 4 + 83 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 50244426 + ... + 50244534.

Almost surely, 2^5476648320 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 5476648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11394583200).

5476648320 is an abundant number, since it is smaller than the sum of its proper divisors (17312518080).

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

5476648320 is a wasteful number, since it uses less digits than its factorization.

5476648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5476648320 is about 74004.3804108919. The cubic root of 5476648320 is about 1762.6724551337.

It can be divided in two parts, 5476 and 648320, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 5476648320 in words is "five billion, four hundred seventy-six million, six hundred forty-eight thousand, three hundred twenty".