6828756302160 has 3200 divisors, whose sum is σ = 29270446571520. Its totient is φ = 1460544307200.

The previous prime is 6828756302153. The next prime is 6828756302161. The reversal of 6828756302160 is 612036578286.

6828756302160 is a `hidden beast` number, since 6 + 8 + 287 + 56 + 302 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6828756302097 and 6828756302106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828756302161) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 115741632211 + ... + 115741632269.

Almost surely, 2^{6828756302160} is an apocalyptic number.

6828756302160 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 6828756302160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635223285760).

6828756302160 is an abundant number, since it is smaller than the sum of its proper divisors (22441690269360).

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

6828756302160 is a wasteful number, since it uses less digits than its factorization.

6828756302160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6828756302160 in words is "six trillion, eight hundred twenty-eight billion, seven hundred fifty-six million, three hundred two thousand, one hundred sixty".