6823060608000 has 1408 divisors, whose sum is σ = 28901129886720. Its totient is φ = 1389743308800.

The previous prime is 6823060607921. The next prime is 6823060608041. The reversal of 6823060608000 is 8060603286.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6823060608000.

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, 1013372634 + ... + 1013379366.

Almost surely, 2^{6823060608000} is an apocalyptic number.

6823060608000 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 6823060608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450564943360).

6823060608000 is an abundant number, since it is smaller than the sum of its proper divisors (22078069278720).

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

6823060608000 is a wasteful number, since it uses less digits than its factorization.

6823060608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 6823060608000 in words is "six trillion, eight hundred twenty-three billion, sixty million, six hundred eight thousand".