6755548800 has 1536 divisors, whose sum is σ = 32297932800. Its totient is φ = 1194393600.

The previous prime is 6755548783. The next prime is 6755548823. The reversal of 6755548800 is 88455576.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6755548800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182582382 + ... + 182582418.

It is an arithmetic number, because the mean of its divisors is an integer number (21027300).

Almost surely, 2^6755548800 is an apocalyptic number.

6755548800 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 6755548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148966400).

6755548800 is an abundant number, since it is smaller than the sum of its proper divisors (25542384000).

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

6755548800 is a wasteful number, since it uses less digits than its factorization.

6755548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 6755548800 is about 82192.1456101494. The cubic root of 6755548800 is about 1890.3992885567.

It can be divided in two parts, 6755 and 548800, that added together give a palindrome (555555).

The spelling of 6755548800 in words is "six billion, seven hundred fifty-five million, five hundred forty-eight thousand, eight hundred".