273717480960 has 2400 divisors, whose sum is σ = 1300493905920. Its totient is φ = 54344908800.

The previous prime is 273717480931. The next prime is 273717481013. The reversal of 273717480960 is 69084717372.

273717480960 is a `hidden beast` number, since 2 + 7 + 3 + 71 + 7 + 480 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 273717480897 and 273717480906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3464778201 + ... + 3464778279.

Almost surely, 2^273717480960 is an apocalyptic number.

273717480960 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 273717480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650246952960).

273717480960 is an abundant number, since it is smaller than the sum of its proper divisors (1026776424960).

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

273717480960 is a wasteful number, since it uses less digits than its factorization.

273717480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 273717480960 in words is "two hundred seventy-three billion, seven hundred seventeen million, four hundred eighty thousand, nine hundred sixty".