27714288672 has 360 divisors, whose sum is σ = 97886638080. Its totient is φ = 7661848320.

The previous prime is 27714288631. The next prime is 27714288689. The reversal of 27714288672 is 27688241772.

27714288672 is a `hidden beast` number, since 2 + 7 + 71 + 428 + 86 + 72 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3933729 + ... + 3940767.

It is an arithmetic number, because the mean of its divisors is an integer number (271907328).

Almost surely, 2^27714288672 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 27714288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48943319040).

27714288672 is an abundant number, since it is smaller than the sum of its proper divisors (70172349408).

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

27714288672 is a wasteful number, since it uses less digits than its factorization.

27714288672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7106 (or 7082 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The spelling of 27714288672 in words is "twenty-seven billion, seven hundred fourteen million, two hundred eighty-eight thousand, six hundred seventy-two".