27488870640 has 640 divisors, whose sum is σ = 120492288000. Its totient is φ = 5710279680.

The previous prime is 27488870593. The next prime is 27488870641. The reversal of 27488870640 is 4607888472.

It is a happy number.

27488870640 is a `hidden beast` number, since 27 + 488 + 87 + 0 + 64 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27488870641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8147994 + ... + 8151366.

It is an arithmetic number, because the mean of its divisors is an integer number (188269200).

Almost surely, 2^27488870640 is an apocalyptic number.

27488870640 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 27488870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60246144000).

27488870640 is an abundant number, since it is smaller than the sum of its proper divisors (93003417360).

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

27488870640 is a wasteful number, since it uses less digits than its factorization.

27488870640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 27488870640 in words is "twenty-seven billion, four hundred eighty-eight million, eight hundred seventy thousand, six hundred forty".