273374478721600 has 189 divisors, whose sum is σ = 675533680658283. Its totient is φ = 108886573824000.

The previous prime is 273374478721549. The next prime is 273374478721607. The reversal of 273374478721600 is 6127874473372.

The square root of 273374478721600 is 16534040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 389006679616 + 272985472041984 = 623704^2 + 16522272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (273374478721607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 185842608865 + ... + 185842610335.

Almost surely, 2^{273374478721600} is an apocalyptic number.

273374478721600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

273374478721600 is the 16534040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273374478721600

273374478721600 is an abundant number, since it is smaller than the sum of its proper divisors (402159201936683).

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

273374478721600 is an frugal number, since it uses more digits than its factorization.

273374478721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 61.

The spelling of 273374478721600 in words is "two hundred seventy-three trillion, three hundred seventy-four billion, four hundred seventy-eight million, seven hundred twenty-one thousand, six hundred".