5829095664 has 560 divisors, whose sum is σ = 20817715200. Its totient is φ = 1577439360.

The previous prime is 5829095651. The next prime is 5829095683. The reversal of 5829095664 is 4665909285.

It is a happy number.

5829095664 is a `hidden beast` number, since 58 + 29 + 0 + 9 + 566 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5829095664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 124023289 + ... + 124023335.

Almost surely, 2^5829095664 is an apocalyptic number.

5829095664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5829095664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10408857600).

5829095664 is an abundant number, since it is smaller than the sum of its proper divisors (14988619536).

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

5829095664 is an equidigital number, since it uses as much as digits as its factorization.

5829095664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5829095664 is about 76348.5144845661. The cubic root of 5829095664 is about 1799.7011503855.

The spelling of 5829095664 in words is "five billion, eight hundred twenty-nine million, ninety-five thousand, six hundred sixty-four".