6774939144 has 288 divisors, whose sum is σ = 20919225600. Its totient is φ = 2051619840.

The previous prime is 6774939121. The next prime is 6774939151. The reversal of 6774939144 is 4419394776.

6774939144 is a `hidden beast` number, since 6 + 7 + 7 + 493 + 9 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 17416102 + ... + 17416490.

It is an arithmetic number, because the mean of its divisors is an integer number (72636200).

Almost surely, 2^6774939144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6774939144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10459612800).

6774939144 is an abundant number, since it is smaller than the sum of its proper divisors (14144286456).

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

6774939144 is a wasteful number, since it uses less digits than its factorization.

6774939144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 442 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 6774939144 is about 82310.0184910683. The cubic root of 6774939144 is about 1892.2062218321.

The spelling of 6774939144 in words is "six billion, seven hundred seventy-four million, nine hundred thirty-nine thousand, one hundred forty-four".