5147648320 has 112 divisors (see below), whose sum is σ = 12548329488. Its totient is φ = 2010644480.

The previous prime is 5147648287. The next prime is 5147648339. The reversal of 5147648320 is 238467415.

It can be written as a sum of positive squares in 8 ways, for example, as 1739890944 + 3407757376 = 41712^2 + 58376^2 .

It is a super-3 number, since 3×5147648320³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 4358130 + ... + 4359310.

Almost surely, 2^5147648320 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 5147648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274164744).

5147648320 is an abundant number, since it is smaller than the sum of its proper divisors (7400681168).

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

5147648320 is a wasteful number, since it uses less digits than its factorization.

5147648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 5147648320 is about 71747.1136701679. The cubic root of 5147648320 is about 1726.6446061558.

The spelling of 5147648320 in words is "five billion, one hundred forty-seven million, six hundred forty-eight thousand, three hundred twenty".