273810649504 has 384 divisors, whose sum is σ = 696450908160. Its totient is φ = 103282781184.

The previous prime is 273810649501. The next prime is 273810649517. The reversal of 273810649504 is 405946018372.

It is a happy number.

273810649504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (273810649501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544354917 + ... + 544355419.

It is an arithmetic number, because the mean of its divisors is an integer number (1813674240).

It is a 1-persistent number, because it is pandigital, but 2⋅273810649504 = 547621299008 is not.

Almost surely, 2^273810649504 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 273810649504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348225454080).

273810649504 is an abundant number, since it is smaller than the sum of its proper divisors (422640258656).

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

273810649504 is a wasteful number, since it uses less digits than its factorization.

273810649504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 273810649504 in words is "two hundred seventy-three billion, eight hundred ten million, six hundred forty-nine thousand, five hundred four".