273757494336480 has 2592 divisors, whose sum is σ = 1286663765796864. Its totient is φ = 52655049216000.

The previous prime is 273757494336479. The next prime is 273757494336499. The reversal of 273757494336480 is 84633494757372.

273757494336480 is a `hidden beast` number, since 2 + 7 + 3 + 7 + 5 + 74 + 9 + 43 + 36 + 480 = 666.

It is a super-3 number, since 3×273757494336480³ (a number of 44 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 273757494336399 and 273757494336408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6087400395 + ... + 6087445365.

It is an arithmetic number, because the mean of its divisors is an integer number (496398057792).

Almost surely, 2^{273757494336480} is an apocalyptic number.

273757494336480 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 273757494336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643331882898432).

273757494336480 is an abundant number, since it is smaller than the sum of its proper divisors (1012906271460384).

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

273757494336480 is a wasteful number, since it uses less digits than its factorization.

273757494336480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45082 (or 45053 counting only the distinct ones).

The product of its (nonzero) digits is 2560481280, while the sum is 72.

The spelling of 273757494336480 in words is "two hundred seventy-three trillion, seven hundred fifty-seven billion, four hundred ninety-four million, three hundred thirty-six thousand, four hundred eighty".