6828957720 has 320 divisors, whose sum is σ = 24874153920. Its totient is φ = 1670409216.

The previous prime is 6828957701. The next prime is 6828957763. The reversal of 6828957720 is 277598286.

It is a happy number.

6828957720 is a `hidden beast` number, since 68 + 2 + 8 + 9 + 577 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8297229 + ... + 8298051.

It is an arithmetic number, because the mean of its divisors is an integer number (77731731).

Almost surely, 2^6828957720 is an apocalyptic number.

6828957720 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 6828957720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12437076960).

6828957720 is an abundant number, since it is smaller than the sum of its proper divisors (18045196200).

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

6828957720 is a wasteful number, since it uses less digits than its factorization.

6828957720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 6828957720 is about 82637.5079488727. The cubic root of 6828957720 is about 1897.2219530410.

The spelling of 6828957720 in words is "six billion, eight hundred twenty-eight million, nine hundred fifty-seven thousand, seven hundred twenty".