6821726688000 has 1440 divisors, whose sum is σ = 29608244265600. Its totient is φ = 1559048601600.

The previous prime is 6821726687959. The next prime is 6821726688031. The reversal of 6821726688000 is 8866271286.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 889052164 + ... + 889059836.

It is an arithmetic number, because the mean of its divisors is an integer number (20561280740).

Almost surely, 2^{6821726688000} is an apocalyptic number.

6821726688000 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 6821726688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14804122132800).

6821726688000 is an abundant number, since it is smaller than the sum of its proper divisors (22786517577600).

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

6821726688000 is an frugal number, since it uses more digits than its factorization.

6821726688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7737 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 6821726688000 in words is "six trillion, eight hundred twenty-one billion, seven hundred twenty-six million, six hundred eighty-eight thousand".