27015047640 has 512 divisors, whose sum is σ = 105703833600. Its totient is φ = 6009569280.

The previous prime is 27015047627. The next prime is 27015047671. The reversal of 27015047640 is 4674051072.

27015047640 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 5 + 0 + 4 + 7 + 640 = 666.

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 = 27015047595 and 27015047604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76529704 + ... + 76530056.

It is an arithmetic number, because the mean of its divisors is an integer number (206452800).

Almost surely, 2^27015047640 is an apocalyptic number.

27015047640 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 27015047640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52851916800).

27015047640 is an abundant number, since it is smaller than the sum of its proper divisors (78688785960).

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

27015047640 is a wasteful number, since it uses less digits than its factorization.

27015047640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 27015047640 in words is "twenty-seven billion, fifteen million, forty-seven thousand, six hundred forty".