6828664500 has 864 divisors, whose sum is σ = 27550688256. Its totient is φ = 1469664000.

The previous prime is 6828664471. The next prime is 6828664517. The reversal of 6828664500 is 54668286.

6828664500 is a `hidden beast` number, since 6 + 8 + 2 + 86 + 64 + 500 = 666.

It is a super-3 number, since 3×6828664500³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 184558482 + ... + 184558518.

Almost surely, 2^6828664500 is an apocalyptic number.

6828664500 is a gapful number since it is divisible by the number (60) 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 6828664500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13775344128).

6828664500 is an abundant number, since it is smaller than the sum of its proper divisors (20722023756).

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

6828664500 is a wasteful number, since it uses less digits than its factorization.

6828664500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6828664500 is about 82635.7337959796. The cubic root of 6828664500 is about 1897.1947985124.

The spelling of 6828664500 in words is "six billion, eight hundred twenty-eight million, six hundred sixty-four thousand, five hundred".