227307120768 has 1536 divisors, whose sum is σ = 922259520000. Its totient is φ = 53062926336.

The previous prime is 227307120767. The next prime is 227307120769. The reversal of 227307120768 is 867021703722.

It is an interprime number because it is at equal distance from previous prime (227307120767) and next prime (227307120769).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (227307120767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1659175996 + ... + 1659176132.

It is an arithmetic number, because the mean of its divisors is an integer number (600429375).

Almost surely, 2^227307120768 is an apocalyptic number.

227307120768 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 227307120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461129760000).

227307120768 is an abundant number, since it is smaller than the sum of its proper divisors (694952399232).

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

227307120768 is a wasteful number, since it uses less digits than its factorization.

227307120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 227307120768 in words is "two hundred twenty-seven billion, three hundred seven million, one hundred twenty thousand, seven hundred sixty-eight".