273670017920 has 256 divisors, whose sum is σ = 718889472000. Its totient is φ = 99005276160.

The previous prime is 273670017877. The next prime is 273670017949. The reversal of 273670017920 is 29710076372.

It is a super-2 number, since 2×273670017920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186042785 + ... + 186044255.

It is an arithmetic number, because the mean of its divisors is an integer number (2808162000).

Almost surely, 2^273670017920 is an apocalyptic number.

273670017920 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 273670017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359444736000).

273670017920 is an abundant number, since it is smaller than the sum of its proper divisors (445219454080).

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

273670017920 is a wasteful number, since it uses less digits than its factorization.

273670017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 44.

The spelling of 273670017920 in words is "two hundred seventy-three billion, six hundred seventy million, seventeen thousand, nine hundred twenty".