6819240960 has 792 divisors, whose sum is σ = 29008118880. Its totient is φ = 1504935936.

The previous prime is 6819240959. The next prime is 6819240973. The reversal of 6819240960 is 690429186.

It is a happy number.

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

It is a congruent number.

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, 235146226 + ... + 235146254.

Almost surely, 2^6819240960 is an apocalyptic number.

6819240960 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 6819240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504059440).

6819240960 is an abundant number, since it is smaller than the sum of its proper divisors (22188877920).

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

6819240960 is an frugal number, since it uses more digits than its factorization.

6819240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6819240960 is about 82578.6955576316. The cubic root of 6819240960 is about 1896.3216887273.

The spelling of 6819240960 in words is "six billion, eight hundred nineteen million, two hundred forty thousand, nine hundred sixty".