6346828488 has 576 divisors, whose sum is σ = 22619278080. Its totient is φ = 1468938240.

The previous prime is 6346828421. The next prime is 6346828489. The reversal of 6346828488 is 8848286436.

It is a super-2 number, since 2×6346828488² = 80564463712176732288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6346828489) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 86942820 + ... + 86942892.

It is an arithmetic number, because the mean of its divisors is an integer number (39269580).

Almost surely, 2^6346828488 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 6346828488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309639040).

6346828488 is an abundant number, since it is smaller than the sum of its proper divisors (16272449592).

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

6346828488 is a wasteful number, since it uses less digits than its factorization.

6346828488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 57.

The square root of 6346828488 is about 79666.9849310240. The cubic root of 6346828488 is about 1851.4795554267.

The spelling of 6346828488 in words is "six billion, three hundred forty-six million, eight hundred twenty-eight thousand, four hundred eighty-eight".