6821200289904 has 640 divisors, whose sum is σ = 25355625136128. Its totient is φ = 1522057236480.

The previous prime is 6821200289873. The next prime is 6821200289947. The reversal of 6821200289904 is 4099820021286.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40805437 + ... + 40972259.

Almost surely, 2^{6821200289904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6821200289904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677812568064).

6821200289904 is an abundant number, since it is smaller than the sum of its proper divisors (18534424846224).

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

6821200289904 is a wasteful number, since it uses less digits than its factorization.

6821200289904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166925 (or 166919 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 6821200289904 in words is "six trillion, eight hundred twenty-one billion, two hundred million, two hundred eighty-nine thousand, nine hundred four".