27019837440 has 360 divisors, whose sum is σ = 97061067180. Its totient is φ = 7191134208.

The previous prime is 27019837393. The next prime is 27019837447. The reversal of 27019837440 is 4473891072.

27019837440 is a `hidden beast` number, since 270 + 1 + 9 + 8 + 374 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26759725056 + 260112384 = 163584^2 + 16128^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27019837447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53083906 + ... + 53084414.

Almost surely, 2^27019837440 is an apocalyptic number.

27019837440 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 27019837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48530533590).

27019837440 is an abundant number, since it is smaller than the sum of its proper divisors (70041229740).

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

27019837440 is an frugal number, since it uses more digits than its factorization.

27019837440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27019837440 in words is "twenty-seven billion, nineteen million, eight hundred thirty-seven thousand, four hundred forty".