273398840791776 has 1152 divisors, whose sum is σ = 966945244446720. Its totient is φ = 74852926848000.

The previous prime is 273398840791729. The next prime is 273398840791787. The reversal of 273398840791776 is 677197048893372.

273398840791776 is a `hidden beast` number, since 2 + 7 + 3 + 39 + 8 + 8 + 407 + 9 + 177 + 6 = 666.

It is a super-2 number, since 2×273398840791776² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 273398840791695 and 273398840791704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107173201701 + ... + 107173204251.

It is an arithmetic number, because the mean of its divisors is an integer number (839362191360).

Almost surely, 2^{273398840791776} 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 273398840791776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483472622223360).

273398840791776 is an abundant number, since it is smaller than the sum of its proper divisors (693546403654944).

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

273398840791776 is a wasteful number, since it uses less digits than its factorization.

273398840791776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 5377010688, while the sum is 81.

The spelling of 273398840791776 in words is "two hundred seventy-three trillion, three hundred ninety-eight billion, eight hundred forty million, seven hundred ninety-one thousand, seven hundred seventy-six".