27280268964 has 240 divisors, whose sum is σ = 79004162160. Its totient is φ = 8156712960.

The previous prime is 27280268959. The next prime is 27280268993. The reversal of 27280268964 is 46986208272.

It can be written as a sum of positive squares in 8 ways, for example, as 10160640000 + 17119628964 = 100800^2 + 130842^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 27280268964.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22866352 + ... + 22867544.

It is an arithmetic number, because the mean of its divisors is an integer number (329184009).

Almost surely, 2^27280268964 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 27280268964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39502081080).

27280268964 is an abundant number, since it is smaller than the sum of its proper divisors (51723893196).

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

27280268964 is a wasteful number, since it uses less digits than its factorization.

27280268964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 27280268964 in words is "twenty-seven billion, two hundred eighty million, two hundred sixty-eight thousand, nine hundred sixty-four".