5799673440 has 576 divisors, whose sum is σ = 23061749760. Its totient is φ = 1349913600.

The previous prime is 5799673423. The next prime is 5799673463. The reversal of 5799673440 is 443769975.

It is a happy number.

5799673440 is a `hidden beast` number, since 57 + 99 + 67 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45666657 + ... + 45666783.

It is an arithmetic number, because the mean of its divisors is an integer number (40037760).

Almost surely, 2^5799673440 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 5799673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530874880).

5799673440 is an abundant number, since it is smaller than the sum of its proper divisors (17262076320).

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

5799673440 is a wasteful number, since it uses less digits than its factorization.

5799673440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 5799673440 is about 76155.5870570243. The cubic root of 5799673440 is about 1796.6680583416.

The spelling of 5799673440 in words is "five billion, seven hundred ninety-nine million, six hundred seventy-three thousand, four hundred forty".