27489640000 has 105 divisors (see below), whose sum is σ = 68247698277. Its totient is φ = 10982592000.

The previous prime is 27489639967. The next prime is 27489640001. The reversal of 27489640000 is 4698472.

The square root of 27489640000 is 165800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 19294321216 + 8195318784 = 138904^2 + 90528^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27489640001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33159586 + ... + 33160414.

Almost surely, 2^27489640000 is an apocalyptic number.

27489640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27489640000 is the 165800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27489640000

27489640000 is an abundant number, since it is smaller than the sum of its proper divisors (40758058277).

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

27489640000 is an frugal number, since it uses more digits than its factorization.

27489640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

It can be divided in two parts, 27489 and 640000, that added together give a square (667489 = 817²).

The spelling of 27489640000 in words is "twenty-seven billion, four hundred eighty-nine million, six hundred forty thousand".