273046072968 has 96 divisors (see below), whose sum is σ = 784869976800. Its totient is φ = 85456909824.

The previous prime is 273046072967. The next prime is 273046072969. The reversal of 273046072968 is 869270640372.

273046072968 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 4 + 607 + 29 + 6 + 8 = 666.

273046072968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (273046072967) and next prime (273046072969).

It is not an unprimeable number, because it can be changed into a prime (273046072963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246655 + ... + 779057.

It is an arithmetic number, because the mean of its divisors is an integer number (8175728925).

Almost surely, 2^273046072968 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 273046072968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392434988400).

273046072968 is an abundant number, since it is smaller than the sum of its proper divisors (511823903832).

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

273046072968 is a wasteful number, since it uses less digits than its factorization.

273046072968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532851 (or 532844 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 273046072968 in words is "two hundred seventy-three billion, forty-six million, seventy-two thousand, nine hundred sixty-eight".