6787258272 has 192 divisors, whose sum is σ = 20169717120. Its totient is φ = 2247886080.

The previous prime is 6787258271. The next prime is 6787258349. The reversal of 6787258272 is 2728527876.

It is a super-3 number, since 3×6787258272³ (a number of 30 digits) contains 333 as substring.

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 (6787258271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20505147 + ... + 20505477.

It is an arithmetic number, because the mean of its divisors is an integer number (105050610).

Almost surely, 2^6787258272 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 6787258272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10084858560).

6787258272 is an abundant number, since it is smaller than the sum of its proper divisors (13382458848).

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

6787258272 is an equidigital number, since it uses as much as digits as its factorization.

6787258272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 629 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 6787258272 is about 82384.8182130664. The cubic root of 6787258272 is about 1893.3524174276.

The spelling of 6787258272 in words is "six billion, seven hundred eighty-seven million, two hundred fifty-eight thousand, two hundred seventy-two".