6882753024 has 480 divisors, whose sum is σ = 23933944320. Its totient is φ = 1863254016.

The previous prime is 6882752999. The next prime is 6882753041. The reversal of 6882753024 is 4203572886.

It is a super-2 number, since 2×6882753024² = 94744578378762289152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87123417 + ... + 87123495.

It is an arithmetic number, because the mean of its divisors is an integer number (49862384).

Almost surely, 2^6882753024 is an apocalyptic number.

6882753024 is a gapful number since it is divisible by the number (64) 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 6882753024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11966972160).

6882753024 is an abundant number, since it is smaller than the sum of its proper divisors (17051191296).

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

6882753024 is a wasteful number, since it uses less digits than its factorization.

6882753024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 6882753024 is about 82962.3590792837. The cubic root of 6882753024 is about 1902.1907347525.

The spelling of 6882753024 in words is "six billion, eight hundred eighty-two million, seven hundred fifty-three thousand, twenty-four".