6840728460 has 288 divisors, whose sum is σ = 22786283520. Its totient is φ = 1654732800.

The previous prime is 6840728443. The next prime is 6840728473. The reversal of 6840728460 is 648270486.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11979975 + ... + 11980545.

It is an arithmetic number, because the mean of its divisors is an integer number (79119040).

Almost surely, 2^6840728460 is an apocalyptic number.

6840728460 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 6840728460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393141760).

6840728460 is an abundant number, since it is smaller than the sum of its proper divisors (15945555060).

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

6840728460 is a wasteful number, since it uses less digits than its factorization.

6840728460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 6840728460 is about 82708.6963988673. The cubic root of 6840728460 is about 1898.3113768754.

The spelling of 6840728460 in words is "six billion, eight hundred forty million, seven hundred twenty-eight thousand, four hundred sixty".