5306641920 has 240 divisors, whose sum is σ = 18521783280. Its totient is φ = 1404076032.

The previous prime is 5306641913. The next prime is 5306641939. The reversal of 5306641920 is 291466035.

It is a happy number.

5306641920 is a `hidden beast` number, since 5 + 3 + 0 + 6 + 641 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3201732 + ... + 3203388.

It is an arithmetic number, because the mean of its divisors is an integer number (77174097).

Almost surely, 2^5306641920 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 5306641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260891640).

5306641920 is an abundant number, since it is smaller than the sum of its proper divisors (13215141360).

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

5306641920 is a wasteful number, since it uses less digits than its factorization.

5306641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5306641920 is about 72846.7015039116. The cubic root of 5306641920 is about 1744.2414165140.

The spelling of 5306641920 in words is "five billion, three hundred six million, six hundred forty-one thousand, nine hundred twenty".