6816960000 has 500 divisors, whose sum is σ = 25522074072. Its totient is φ = 1810944000.

The previous prime is 6816959993. The next prime is 6816960019. The reversal of 6816960000 is 696186.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25919869 + ... + 25920131.

Almost surely, 2^6816960000 is an apocalyptic number.

6816960000 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 6816960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12761037036).

6816960000 is an abundant number, since it is smaller than the sum of its proper divisors (18705114072).

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

6816960000 is an frugal number, since it uses more digits than its factorization.

6816960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6816960000 is about 82564.8835764939. The cubic root of 6816960000 is about 1896.1102323348.

The spelling of 6816960000 in words is "six billion, eight hundred sixteen million, nine hundred sixty thousand".