273427660800 has 816 divisors, whose sum is σ = 1149398298880. Its totient is φ = 62426972160.

The previous prime is 273427660757. The next prime is 273427660811. The reversal of 273427660800 is 8066724372.

273427660800 is a `hidden beast` number, since 2 + 7 + 34 + 2 + 7 + 6 + 608 + 0 + 0 = 666.

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, 309657159 + ... + 309658041.

Almost surely, 2^273427660800 is an apocalyptic number.

273427660800 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 273427660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574699149440).

273427660800 is an abundant number, since it is smaller than the sum of its proper divisors (875970638080).

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

273427660800 is an frugal number, since it uses more digits than its factorization.

273427660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 273427660800 in words is "two hundred seventy-three billion, four hundred twenty-seven million, six hundred sixty thousand, eight hundred".