5760390816 has 288 divisors, whose sum is σ = 18081423360. Its totient is φ = 1798868736.

The previous prime is 5760390791. The next prime is 5760390821. The reversal of 5760390816 is 6180930675.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18763335 + ... + 18763641.

It is an arithmetic number, because the mean of its divisors is an integer number (62782720).

Almost surely, 2^5760390816 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 5760390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9040711680).

5760390816 is an abundant number, since it is smaller than the sum of its proper divisors (12321032544).

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

5760390816 is a wasteful number, since it uses less digits than its factorization.

5760390816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5760390816 is about 75897.2385268397. The cubic root of 5760390816 is about 1792.6024394809.

The spelling of 5760390816 in words is "five billion, seven hundred sixty million, three hundred ninety thousand, eight hundred sixteen".