6754948027800 has 576 divisors, whose sum is σ = 25159115963520. Its totient is φ = 1493957283840.

The previous prime is 6754948027769. The next prime is 6754948027819. The reversal of 6754948027800 is 87208494576.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135244432 + ... + 135294368.

It is an arithmetic number, because the mean of its divisors is an integer number (43679020770).

Almost surely, 2^{6754948027800} is an apocalyptic number.

6754948027800 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 6754948027800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579557981760).

6754948027800 is an abundant number, since it is smaller than the sum of its proper divisors (18404167935720).

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

6754948027800 is a wasteful number, since it uses less digits than its factorization.

6754948027800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50120 (or 50104 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 6754948027800 in words is "six trillion, seven hundred fifty-four billion, nine hundred forty-eight million, twenty-seven thousand, eight hundred".