6801638844000 has 2304 divisors, whose sum is σ = 31784570947584. Its totient is φ = 1247533056000.

The previous prime is 6801638843963. The next prime is 6801638844019. The reversal of 6801638844000 is 4488361086.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1933930242 + ... + 1933933758.

It is an arithmetic number, because the mean of its divisors is an integer number (13795386696).

Almost surely, 2^{6801638844000} is an apocalyptic number.

6801638844000 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 6801638844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892285473792).

6801638844000 is an abundant number, since it is smaller than the sum of its proper divisors (24982932103584).

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

6801638844000 is a wasteful number, since it uses less digits than its factorization.

6801638844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 6801638844000 in words is "six trillion, eight hundred one billion, six hundred thirty-eight million, eight hundred forty-four thousand".