6801842376000 has 1792 divisors, whose sum is σ = 30537741312000. Its totient is φ = 1447555276800.

The previous prime is 6801842375957. The next prime is 6801842376011. The reversal of 6801842376000 is 6732481086.

6801842376000 is a `hidden beast` number, since 6 + 8 + 0 + 1 + 8 + 4 + 2 + 37 + 600 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1694949994 + ... + 1694954006.

Almost surely, 2^{6801842376000} is an apocalyptic number.

6801842376000 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 6801842376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268870656000).

6801842376000 is an abundant number, since it is smaller than the sum of its proper divisors (23735898936000).

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

6801842376000 is a wasteful number, since it uses less digits than its factorization.

6801842376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 6801842376000 in words is "six trillion, eight hundred one billion, eight hundred forty-two million, three hundred seventy-six thousand".