5829979968 has 224 divisors, whose sum is σ = 17834457600. Its totient is φ = 1865299968.

The previous prime is 5829979957. The next prime is 5829980003. The reversal of 5829979968 is 8699799285.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5829979896 and 5829979905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15885321 + ... + 15885687.

Almost surely, 2^5829979968 is an apocalyptic number.

5829979968 is a gapful number since it is divisible by the number (58) 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 5829979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8917228800).

5829979968 is an abundant number, since it is smaller than the sum of its proper divisors (12004477632).

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

5829979968 is a wasteful number, since it uses less digits than its factorization.

5829979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 72.

The square root of 5829979968 is about 76354.3054974636. The cubic root of 5829979968 is about 1799.7921537787.

The spelling of 5829979968 in words is "five billion, eight hundred twenty-nine million, nine hundred seventy-nine thousand, nine hundred sixty-eight".