5789242368 has 660 divisors, whose sum is σ = 21756826080. Its totient is φ = 1500954624.

The previous prime is 5789242357. The next prime is 5789242387. The reversal of 5789242368 is 8632429875.

5789242368 is a `hidden beast` number, since 5 + 78 + 92 + 423 + 68 = 666.

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

Its product of digits (5806080) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 98122723 + ... + 98122781.

It is an arithmetic number, because the mean of its divisors is an integer number (32964888).

Almost surely, 2^5789242368 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 5789242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878413040).

5789242368 is an abundant number, since it is smaller than the sum of its proper divisors (15967583712).

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

5789242368 is a wasteful number, since it uses less digits than its factorization.

5789242368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 84 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 5789242368 is about 76087.0709647835. The cubic root of 5789242368 is about 1795.5902723230.

The spelling of 5789242368 in words is "five billion, seven hundred eighty-nine million, two hundred forty-two thousand, three hundred sixty-eight".