273066000768 has 1024 divisors, whose sum is σ = 967645440000. Its totient is φ = 75561615360.

The previous prime is 273066000733. The next prime is 273066000769. The reversal of 273066000768 is 867000660372.

273066000768 is a `hidden beast` number, since 2 + 7 + 30 + 6 + 600 + 0 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273066000769) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3068157268 + ... + 3068157356.

It is an arithmetic number, because the mean of its divisors is an integer number (944966250).

Almost surely, 2^273066000768 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 273066000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483822720000).

273066000768 is an abundant number, since it is smaller than the sum of its proper divisors (694579439232).

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

273066000768 is a wasteful number, since it uses less digits than its factorization.

273066000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 273066000768 in words is "two hundred seventy-three billion, sixty-six million, seven hundred sixty-eight", and thus it is an aban number.