27275676480 has 448 divisors, whose sum is σ = 109086700800. Its totient is φ = 6360145920.

The previous prime is 27275676413. The next prime is 27275676481. The reversal of 27275676480 is 8467657272.

27275676480 is a `hidden beast` number, since 2 + 72 + 7 + 567 + 6 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27275676481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2127690 + ... + 2140470.

It is an arithmetic number, because the mean of its divisors is an integer number (243497100).

Almost surely, 2^27275676480 is an apocalyptic number.

27275676480 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 27275676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54543350400).

27275676480 is an abundant number, since it is smaller than the sum of its proper divisors (81811024320).

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

27275676480 is a wasteful number, since it uses less digits than its factorization.

27275676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12839 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 27275676480 in words is "twenty-seven billion, two hundred seventy-five million, six hundred seventy-six thousand, four hundred eighty".