27662400000 has 720 divisors, whose sum is σ = 106592974488. Its totient is φ = 6881280000.

The previous prime is 27662399951. The next prime is 27662400019. The reversal of 27662400000 is 426672.

It can be written as a sum of positive squares in 12 ways, for example, as 17665599744 + 9996800256 = 132912^2 + 99984^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244799944 + ... + 244800056.

Almost surely, 2^27662400000 is an apocalyptic number.

27662400000 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 27662400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53296487244).

27662400000 is an abundant number, since it is smaller than the sum of its proper divisors (78930574488).

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

27662400000 is an equidigital number, since it uses as much as digits as its factorization.

27662400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 27662400000 its reverse (426672), we get a palindrome (27662826672).

The spelling of 27662400000 in words is "twenty-seven billion, six hundred sixty-two million, four hundred thousand".