273210727680 has 1152 divisors, whose sum is σ = 1107645235200. Its totient is φ = 63170150400.

The previous prime is 273210727667. The next prime is 273210727687. The reversal of 273210727680 is 86727012372.

273210727680 is a `hidden beast` number, since 273 + 2 + 107 + 276 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273210727687) 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, 1143141001 + ... + 1143141239.

It is an arithmetic number, because the mean of its divisors is an integer number (961497600).

Almost surely, 2^273210727680 is an apocalyptic number.

273210727680 is a gapful number since it is divisible by the number (20) 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 273210727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553822617600).

273210727680 is an abundant number, since it is smaller than the sum of its proper divisors (834434507520).

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

273210727680 is a wasteful number, since it uses less digits than its factorization.

273210727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

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

The spelling of 273210727680 in words is "two hundred seventy-three billion, two hundred ten million, seven hundred twenty-seven thousand, six hundred eighty".