274272768 has 240 divisors, whose sum is σ = 988168896. Its totient is φ = 71147520.

The previous prime is 274272763. The next prime is 274272797. The reversal of 274272768 is 867272472.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (274272763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354430 + ... + 355202.

Almost surely, 2^274272768 is an apocalyptic number.

274272768 is a gapful number since it is divisible by the number (28) 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 274272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494084448).

274272768 is an abundant number, since it is smaller than the sum of its proper divisors (713896128).

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

274272768 is a wasteful number, since it uses less digits than its factorization.

274272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 796 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 274272768 is about 16561.1825664715. The cubic root of 274272768 is about 649.7219860375.

The spelling of 274272768 in words is "two hundred seventy-four million, two hundred seventy-two thousand, seven hundred sixty-eight".