5506506720 has 864 divisors, whose sum is σ = 23697352224. Its totient is φ = 1159741440.

The previous prime is 5506506713. The next prime is 5506506721. The reversal of 5506506720 is 276056055.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506506721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 323912152 + ... + 323912168.

It is an arithmetic number, because the mean of its divisors is an integer number (27427491).

Almost surely, 2^5506506720 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 5506506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848676112).

5506506720 is an abundant number, since it is smaller than the sum of its proper divisors (18190845504).

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

5506506720 is a wasteful number, since it uses less digits than its factorization.

5506506720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5506506720 is about 74205.8402014289. The cubic root of 5506506720 is about 1765.8699838914.

The spelling of 5506506720 in words is "five billion, five hundred six million, five hundred six thousand, seven hundred twenty".