6774272000 has 208 divisors, whose sum is σ = 17204245344. Its totient is φ = 2662400000.

The previous prime is 6774271997. The next prime is 6774272003. The reversal of 6774272000 is 2724776.

It is an interprime number because it is at equal distance from previous prime (6774271997) and next prime (6774272003).

It is a super-2 number, since 2×6774272000² = 91781522259968000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6774272003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51711935 + ... + 51712065.

It is an arithmetic number, because the mean of its divisors is an integer number (82712718).

Almost surely, 2^6774272000 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 6774272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602122672).

6774272000 is an abundant number, since it is smaller than the sum of its proper divisors (10429973344).

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

6774272000 is a wasteful number, since it uses less digits than its factorization.

6774272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The square root of 6774272000 is about 82305.9657619057. The cubic root of 6774272000 is about 1892.1441098122.

Adding to 6774272000 its reverse (2724776), we get a palindrome (6776996776).

The spelling of 6774272000 in words is "six billion, seven hundred seventy-four million, two hundred seventy-two thousand".