6826270752 has 288 divisors, whose sum is σ = 23836176000. Its totient is φ = 1847204352.

The previous prime is 6826270751. The next prime is 6826270757. The reversal of 6826270752 is 2570726286.

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

It is a super-2 number, since 2×6826270752² = 93195944759221291008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6826270698 and 6826270707.

It is not an unprimeable number, because it can be changed into a prime (6826270751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1875078 + ... + 1878714.

It is an arithmetic number, because the mean of its divisors is an integer number (82764500).

Almost surely, 2^6826270752 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 6826270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918088000).

6826270752 is an abundant number, since it is smaller than the sum of its proper divisors (17009905248).

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

6826270752 is a wasteful number, since it uses less digits than its factorization.

6826270752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6826270752 is about 82621.2487923052. The cubic root of 6826270752 is about 1896.9730891277.

The spelling of 6826270752 in words is "six billion, eight hundred twenty-six million, two hundred seventy thousand, seven hundred fifty-two".