6789942144 has 288 divisors, whose sum is σ = 21370213800. Its totient is φ = 2066577408.

The previous prime is 6789942143. The next prime is 6789942151. The reversal of 6789942144 is 4412499876.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6789942144² = 92206628637734633472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6789942143) 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, 12060007 + ... + 12060569.

Almost surely, 2^6789942144 is an apocalyptic number.

6789942144 is a gapful number since it is divisible by the number (64) 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 6789942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10685106900).

6789942144 is an abundant number, since it is smaller than the sum of its proper divisors (14580271656).

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

6789942144 is a wasteful number, since it uses less digits than its factorization.

6789942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 616 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 6789942144 is about 82401.1052353062. The cubic root of 6789942144 is about 1893.6019460635.

The spelling of 6789942144 in words is "six billion, seven hundred eighty-nine million, nine hundred forty-two thousand, one hundred forty-four".