27730065132 has 324 divisors, whose sum is σ = 90420641584. Its totient is φ = 7013952000.

The previous prime is 27730065131. The next prime is 27730065133. The reversal of 27730065132 is 23156003772.

27730065132 is a `hidden beast` number, since 277 + 300 + 6 + 51 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (27730065131) and next prime (27730065133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27730065131) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 51256782 + ... + 51257322.

Almost surely, 2^27730065132 is an apocalyptic number.

27730065132 is a gapful number since it is divisible by the number (22) 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 27730065132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45210320792).

27730065132 is an abundant number, since it is smaller than the sum of its proper divisors (62690576452).

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

27730065132 is a wasteful number, since it uses less digits than its factorization.

27730065132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 27730065132 in words is "twenty-seven billion, seven hundred thirty million, sixty-five thousand, one hundred thirty-two".