5790007296 has 192 divisors, whose sum is σ = 17328764700. Its totient is φ = 1860698112.

The previous prime is 5790007283. The next prime is 5790007367. The reversal of 5790007296 is 6927000975.

5790007296 is a `hidden beast` number, since 579 + 0 + 0 + 0 + 72 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5046681600 + 743325696 = 71040^2 + 27264^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8552110 + ... + 8552786.

Almost surely, 2^5790007296 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 5790007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664382350).

5790007296 is an abundant number, since it is smaller than the sum of its proper divisors (11538757404).

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

5790007296 is an equidigital number, since it uses as much as digits as its factorization.

5790007296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 5790007296 is about 76092.0974609059. The cubic root of 5790007296 is about 1795.6693521462.

The spelling of 5790007296 in words is "five billion, seven hundred ninety million, seven thousand, two hundred ninety-six".