273117680640 has 528 divisors, whose sum is σ = 1145180754432. Its totient is φ = 58753548288.

The previous prime is 273117680639. The next prime is 273117680651. The reversal of 273117680640 is 46086711372.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5458617 + ... + 5508423.

It is an arithmetic number, because the mean of its divisors is an integer number (2168902944).

Almost surely, 2^273117680640 is an apocalyptic number.

273117680640 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 273117680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572590377216).

273117680640 is an abundant number, since it is smaller than the sum of its proper divisors (872063073792).

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

273117680640 is a wasteful number, since it uses less digits than its factorization.

273117680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49862 (or 49841 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 273117680640 in words is "two hundred seventy-three billion, one hundred seventeen million, six hundred eighty thousand, six hundred forty".