27489248640 has 896 divisors, whose sum is σ = 118799481600. Its totient is φ = 5939122176.

The previous prime is 27489248617. The next prime is 27489248651. The reversal of 27489248640 is 4684298472.

27489248640 is a `hidden beast` number, since 2 + 74 + 8 + 92 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 62052259 + ... + 62052701.

Almost surely, 2^27489248640 is an apocalyptic number.

27489248640 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 27489248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59399740800).

27489248640 is an abundant number, since it is smaller than the sum of its proper divisors (91310232960).

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

27489248640 is an equidigital number, since it uses as much as digits as its factorization.

27489248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 27489248640 in words is "twenty-seven billion, four hundred eighty-nine million, two hundred forty-eight thousand, six hundred forty".