6789007872 has 360 divisors, whose sum is σ = 21262228416. Its totient is φ = 2163345408.

The previous prime is 6789007847. The next prime is 6789007877. The reversal of 6789007872 is 2787009876.

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

It is not an unprimeable number, because it can be changed into a prime (6789007877) 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, 144446953 + ... + 144446999.

Almost surely, 2^6789007872 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 6789007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10631114208).

6789007872 is an abundant number, since it is smaller than the sum of its proper divisors (14473220544).

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

6789007872 is an frugal number, since it uses more digits than its factorization.

6789007872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 6789007872 is about 82395.4359901081. The cubic root of 6789007872 is about 1893.5150911052.

The spelling of 6789007872 in words is "six billion, seven hundred eighty-nine million, seven thousand, eight hundred seventy-two".