6728883840 has 576 divisors, whose sum is σ = 28062084960. Its totient is φ = 1536288768.

The previous prime is 6728883817. The next prime is 6728883919. The reversal of 6728883840 is 483888276.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620039 + ... + 7620921.

Almost surely, 2^6728883840 is an apocalyptic number.

6728883840 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 6728883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031042480).

6728883840 is an abundant number, since it is smaller than the sum of its proper divisors (21333201120).

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

6728883840 is an equidigital number, since it uses as much as digits as its factorization.

6728883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 6728883840 is about 82029.7741067230. The cubic root of 6728883840 is about 1887.9087981416.

The spelling of 6728883840 in words is "six billion, seven hundred twenty-eight million, eight hundred eighty-three thousand, eight hundred forty".