5829790680 has 288 divisors, whose sum is σ = 23000047200. Its totient is φ = 1274499072.

The previous prime is 5829790669. The next prime is 5829790699. The reversal of 5829790680 is 860979285.

It is a happy number.

It is a super-2 number, since 2×5829790680² = 67972918745229724800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 398536 + ... + 412904.

It is an arithmetic number, because the mean of its divisors is an integer number (79861275).

Almost surely, 2^5829790680 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 5829790680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11500023600).

5829790680 is an abundant number, since it is smaller than the sum of its proper divisors (17170256520).

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

5829790680 is a wasteful number, since it uses less digits than its factorization.

5829790680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14423 (or 14409 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 5829790680 is about 76353.0659502289. The cubic root of 5829790680 is about 1799.7726749957.

The spelling of 5829790680 in words is "five billion, eight hundred twenty-nine million, seven hundred ninety thousand, six hundred eighty".