6747561880800 has 288 divisors, whose sum is σ = 24156055913472. Its totient is φ = 1625598842880.

The previous prime is 6747561880793. The next prime is 6747561880819. The reversal of 6747561880800 is 80881657476.

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 47 ways as a sum of consecutive naturals, for example, 834324 + ... + 3767123.

It is an arithmetic number, because the mean of its divisors is an integer number (83875194144).

Almost surely, 2^{6747561880800} is an apocalyptic number.

6747561880800 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 6747561880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12078027956736).

6747561880800 is an abundant number, since it is smaller than the sum of its proper divisors (17408494032672).

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

6747561880800 is a wasteful number, since it uses less digits than its factorization.

6747561880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601530 (or 4601517 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 6747561880800 in words is "six trillion, seven hundred forty-seven billion, five hundred sixty-one million, eight hundred eighty thousand, eight hundred".