5506812720 has 480 divisors, whose sum is σ = 21125505024. Its totient is φ = 1277337600.

The previous prime is 5506812713. The next prime is 5506812721. The reversal of 5506812720 is 272186055.

It is a happy number.

5506812720 is a `hidden beast` number, since 5 + 506 + 8 + 127 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5506812721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8726805 + ... + 8727435.

Almost surely, 2^5506812720 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 5506812720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10562752512).

5506812720 is an abundant number, since it is smaller than the sum of its proper divisors (15618692304).

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

5506812720 is a wasteful number, since it uses less digits than its factorization.

5506812720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5506812720 is about 74207.9020051099. The cubic root of 5506812720 is about 1765.9026934496.

Adding to 5506812720 its reverse (272186055), we get a palindrome (5778998775).

The spelling of 5506812720 in words is "five billion, five hundred six million, eight hundred twelve thousand, seven hundred twenty".