6774112800 has 864 divisors, whose sum is σ = 30141820800. Its totient is φ = 1422489600.

The previous prime is 6774112739. The next prime is 6774112819. The reversal of 6774112800 is 82114776.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32104695 + ... + 32104905.

Almost surely, 2^6774112800 is an apocalyptic number.

6774112800 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 6774112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15070910400).

6774112800 is an abundant number, since it is smaller than the sum of its proper divisors (23367708000).

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

6774112800 is a wasteful number, since it uses less digits than its factorization.

6774112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 6774112800 is about 82304.9986331328. The cubic root of 6774112800 is about 1892.1292874715.

The spelling of 6774112800 in words is "six billion, seven hundred seventy-four million, one hundred twelve thousand, eight hundred".