6756454800 has 180 divisors, whose sum is σ = 24255659220. Its totient is φ = 1739566080.

The previous prime is 6756454799. The next prime is 6756454807. The reversal of 6756454800 is 84546576.

6756454800 is a `hidden beast` number, since 6 + 7 + 564 + 5 + 4 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 430479504 + 6325975296 = 20748^2 + 79536^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6756454807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72042 + ... + 136758.

Almost surely, 2^6756454800 is an apocalyptic number.

6756454800 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 6756454800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12127829610).

6756454800 is an abundant number, since it is smaller than the sum of its proper divisors (17499204420).

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

6756454800 is a wasteful number, since it uses less digits than its factorization.

6756454800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64770 (or 64756 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 6756454800 is about 82197.6569009117. The cubic root of 6756454800 is about 1890.4837931740.

The spelling of 6756454800 in words is "six billion, seven hundred fifty-six million, four hundred fifty-four thousand, eight hundred".