273836817072 has 640 divisors, whose sum is σ = 1025765457920. Its totient is φ = 67990855680.

The previous prime is 273836817047. The next prime is 273836817101. The reversal of 273836817072 is 270718638372.

It is a happy number.

273836817072 is a `hidden beast` number, since 27 + 383 + 6 + 8 + 170 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45087828 + ... + 45093900.

It is an arithmetic number, because the mean of its divisors is an integer number (1602758528).

Almost surely, 2^273836817072 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 273836817072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512882728960).

273836817072 is an abundant number, since it is smaller than the sum of its proper divisors (751928640848).

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

273836817072 is a wasteful number, since it uses less digits than its factorization.

273836817072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 6166 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 273836817072 in words is "two hundred seventy-three billion, eight hundred thirty-six million, eight hundred seventeen thousand, seventy-two".