6775372800 has 396 divisors, whose sum is σ = 27731216656. Its totient is φ = 1548288000.

The previous prime is 6775372783. The next prime is 6775372801. The reversal of 6775372800 is 82735776.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6775372801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1610700 + ... + 1614900.

Almost surely, 2^6775372800 is an apocalyptic number.

6775372800 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 6775372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865608328).

6775372800 is an abundant number, since it is smaller than the sum of its proper divisors (20955843856).

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

6775372800 is a wasteful number, since it uses less digits than its factorization.

6775372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 6775372800 is about 82312.6527333435. The cubic root of 6775372800 is about 1892.2465936129.

The spelling of 6775372800 in words is "six billion, seven hundred seventy-five million, three hundred seventy-two thousand, eight hundred".