27306512640 has 864 divisors, whose sum is σ = 111852389376. Its totient is φ = 6313697280.

The previous prime is 27306512621. The next prime is 27306512647. The reversal of 27306512640 is 4621560372.

27306512640 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 6 + 5 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 27306512595 and 27306512604.

It is not an unprimeable number, because it can be changed into a prime (27306512647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78692947 + ... + 78693293.

It is an arithmetic number, because the mean of its divisors is an integer number (129458784).

Almost surely, 2^27306512640 is an apocalyptic number.

27306512640 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 27306512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55926194688).

27306512640 is an abundant number, since it is smaller than the sum of its proper divisors (84545876736).

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

27306512640 is a wasteful number, since it uses less digits than its factorization.

27306512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 27306512640 in words is "twenty-seven billion, three hundred six million, five hundred twelve thousand, six hundred forty".