5264766720 has 720 divisors, whose sum is σ = 20834573760. Its totient is φ = 1263403008.

The previous prime is 5264766719. The next prime is 5264766751. The reversal of 5264766720 is 276674625.

5264766720 is a `hidden beast` number, since 526 + 47 + 6 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51114189 + ... + 51114291.

It is an arithmetic number, because the mean of its divisors is an integer number (28936908).

Almost surely, 2^5264766720 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 5264766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417286880).

5264766720 is an abundant number, since it is smaller than the sum of its proper divisors (15569807040).

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

5264766720 is a wasteful number, since it uses less digits than its factorization.

5264766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 5264766720 is about 72558.7122267202. The cubic root of 5264766720 is about 1739.6413053718.

The spelling of 5264766720 in words is "five billion, two hundred sixty-four million, seven hundred sixty-six thousand, seven hundred twenty".