6774544800 has 432 divisors, whose sum is σ = 24990697368. Its totient is φ = 1725235200.

The previous prime is 6774544789. The next prime is 6774544817. The reversal of 6774544800 is 84454776.

It can be written as a sum of positive squares in 12 ways, for example, as 129686544 + 6644858256 = 11388^2 + 81516^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15645384 + ... + 15645816.

Almost surely, 2^6774544800 is an apocalyptic number.

6774544800 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 6774544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12495348684).

6774544800 is an abundant number, since it is smaller than the sum of its proper divisors (18216152568).

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

6774544800 is a wasteful number, since it uses less digits than its factorization.

6774544800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 6774544800 is about 82307.6229762469. The cubic root of 6774544800 is about 1892.1695083585.

The spelling of 6774544800 in words is "six billion, seven hundred seventy-four million, five hundred forty-four thousand, eight hundred".