27481973760 has 352 divisors, whose sum is σ = 99297513600. Its totient is φ = 7206174720.

The previous prime is 27481973759. The next prime is 27481973777. The reversal of 27481973760 is 6737918472.

27481973760 is a `hidden beast` number, since 2 + 7 + 481 + 97 + 3 + 76 + 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 = 27481973697 and 27481973706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8431011 + ... + 8434269.

Almost surely, 2^27481973760 is an apocalyptic number.

27481973760 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 27481973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49648756800).

27481973760 is an abundant number, since it is smaller than the sum of its proper divisors (71815539840).

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

27481973760 is a wasteful number, since it uses less digits than its factorization.

27481973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3330 counting only the distinct ones).

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

The spelling of 27481973760 in words is "twenty-seven billion, four hundred eighty-one million, nine hundred seventy-three thousand, seven hundred sixty".