927484648272 has 1080 divisors, whose sum is σ = 3529276752456. Its totient is φ = 225176039424.

The previous prime is 927484648261. The next prime is 927484648301. The reversal of 927484648272 is 272846484729.

927484648272 is a `hidden beast` number, since 9 + 2 + 7 + 4 + 84 + 6 + 482 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201130722576 + 726353925696 = 448476^2 + 852264^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1225210518 + ... + 1225211274.

Almost surely, 2^927484648272 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 927484648272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764638376228).

927484648272 is an abundant number, since it is smaller than the sum of its proper divisors (2601792104184).

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

927484648272 is a wasteful number, since it uses less digits than its factorization.

927484648272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 838 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 927484648272 in words is "nine hundred twenty-seven billion, four hundred eighty-four million, six hundred forty-eight thousand, two hundred seventy-two".