6801236371800 has 576 divisors, whose sum is σ = 25652466396000. Its totient is φ = 1655320043520.

The previous prime is 6801236371781. The next prime is 6801236371861. The reversal of 6801236371800 is 81736321086.

6801236371800 is a `hidden beast` number, since 6 + 8 + 0 + 1 + 2 + 3 + 637 + 1 + 8 + 0 + 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 143 ways as a sum of consecutive naturals, for example, 81179532 + ... + 81263268.

Almost surely, 2^{6801236371800} is an apocalyptic number.

6801236371800 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 6801236371800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12826233198000).

6801236371800 is an abundant number, since it is smaller than the sum of its proper divisors (18851230024200).

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

6801236371800 is a wasteful number, since it uses less digits than its factorization.

6801236371800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83877 (or 83849 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6801236371800 in words is "six trillion, eight hundred one billion, two hundred thirty-six million, three hundred seventy-one thousand, eight hundred".