273499937628480 has 168 divisors, whose sum is σ = 940860036901512. Its totient is φ = 72922911584256.

The previous prime is 273499937628479. The next prime is 273499937628481. The reversal of 273499937628480 is 84826739994372.

It is a happy number.

273499937628480 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 9 + 99 + 376 + 2 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (273499937628479) and next prime (273499937628481).

It can be written as a sum of positive squares in 4 ways, for example, as 145095322984704 + 128404614643776 = 12045552^2 + 11331576^2 .

It is a super-2 number, since 2×273499937628480² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 273499937628480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273499937628481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13426782 + ... + 26968098.

It is an arithmetic number, because the mean of its divisors is an integer number (5600357362509).

Almost surely, 2^{273499937628480} is an apocalyptic number.

273499937628480 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 273499937628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470430018450756).

273499937628480 is an abundant number, since it is smaller than the sum of its proper divisors (667360099273032).

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

273499937628480 is a wasteful number, since it uses less digits than its factorization.

273499937628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13548353 (or 13548340 counting only the distinct ones).

The product of its (nonzero) digits is 7900913664, while the sum is 81.

The spelling of 273499937628480 in words is "two hundred seventy-three trillion, four hundred ninety-nine billion, nine hundred thirty-seven million, six hundred twenty-eight thousand, four hundred eighty".