6730643818800 has 1920 divisors, whose sum is σ = 27669449041920. Its totient is φ = 1539341107200.

The previous prime is 6730643818757. The next prime is 6730643818889. The reversal of 6730643818800 is 88183460376.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 38905455514 + ... + 38905455686.

It is an arithmetic number, because the mean of its divisors is an integer number (14411171376).

Almost surely, 2^{6730643818800} is an apocalyptic number.

6730643818800 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 6730643818800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13834724520960).

6730643818800 is an abundant number, since it is smaller than the sum of its proper divisors (20938805223120).

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

6730643818800 is a wasteful number, since it uses less digits than its factorization.

6730643818800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 6730643818800 in words is "six trillion, seven hundred thirty billion, six hundred forty-three million, eight hundred eighteen thousand, eight hundred".