273900663360 has 168 divisors, whose sum is σ = 942490084536. Its totient is φ = 73010257920.

The previous prime is 273900663317. The next prime is 273900663397. The reversal of 273900663360 is 63366009372.

273900663360 is a `hidden beast` number, since 2 + 7 + 3 + 9 + 0 + 0 + 6 + 633 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136888160256 + 137012503104 = 369984^2 + 370152^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7518790 + ... + 7555130.

It is an arithmetic number, because the mean of its divisors is an integer number (5610060027).

Almost surely, 2^273900663360 is an apocalyptic number.

273900663360 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 273900663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471245042268).

273900663360 is an abundant number, since it is smaller than the sum of its proper divisors (668589421176).

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

273900663360 is a wasteful number, since it uses less digits than its factorization.

273900663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38981 (or 38968 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 273900663360 in words is "two hundred seventy-three billion, nine hundred million, six hundred sixty-three thousand, three hundred sixty".