5506264764 has 576 divisors, whose sum is σ = 20179031040. Its totient is φ = 1253491200.

The previous prime is 5506264741. The next prime is 5506264769. The reversal of 5506264764 is 4674626055.

5506264764 is a `hidden beast` number, since 550 + 6 + 26 + 4 + 76 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506264769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103891762 + ... + 103891814.

It is an arithmetic number, because the mean of its divisors is an integer number (35033040).

Almost surely, 2^5506264764 is an apocalyptic number.

5506264764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506264764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089515520).

5506264764 is an abundant number, since it is smaller than the sum of its proper divisors (14672766276).

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

5506264764 is a wasteful number, since it uses less digits than its factorization.

5506264764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5506264764 is about 74204.2098805721. The cubic root of 5506264764 is about 1765.8441193934.

The spelling of 5506264764 in words is "five billion, five hundred six million, two hundred sixty-four thousand, seven hundred sixty-four".