273439713468672 has 360 divisors, whose sum is σ = 816474831622296. Its totient is φ = 91020683280384.

The previous prime is 273439713468661. The next prime is 273439713468731. The reversal of 273439713468672 is 276864317934372.

273439713468672 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 3 + 97 + 1 + 3 + 468 + 6 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159999832002816 + 113439881465856 = 12649104^2 + 10650816^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 273439713468672.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67399483668 + ... + 67399487724.

Almost surely, 2^{273439713468672} 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 273439713468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408237415811148).

273439713468672 is an abundant number, since it is smaller than the sum of its proper divisors (543035118153624).

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

273439713468672 is a wasteful number, since it uses less digits than its factorization.

273439713468672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7775 (or 7752 counting only the distinct ones).

The product of its digits is 1536288768, while the sum is 72.

The spelling of 273439713468672 in words is "two hundred seventy-three trillion, four hundred thirty-nine billion, seven hundred thirteen million, four hundred sixty-eight thousand, six hundred seventy-two".