27081008640 has 640 divisors, whose sum is σ = 111454295040. Its totient is φ = 6180986880.

The previous prime is 27081008627. The next prime is 27081008659. The reversal of 27081008640 is 4680018072.

27081008640 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 1 + 0 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 27081008595 and 27081008604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39190695 + ... + 39191385.

It is an arithmetic number, because the mean of its divisors is an integer number (174147336).

Almost surely, 2^27081008640 is an apocalyptic number.

27081008640 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 27081008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55727147520).

27081008640 is an abundant number, since it is smaller than the sum of its proper divisors (84373286400).

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

27081008640 is an frugal number, since it uses more digits than its factorization.

27081008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 27081008640 in words is "twenty-seven billion, eighty-one million, eight thousand, six hundred forty".