27734954240 has 144 divisors (see below), whose sum is σ = 76966313088. Its totient is φ = 9378643968.

The previous prime is 27734954239. The next prime is 27734954251. The reversal of 27734954240 is 4245943772.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632879 + ... + 675281.

Almost surely, 2^27734954240 is an apocalyptic number.

27734954240 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 27734954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38483156544).

27734954240 is an abundant number, since it is smaller than the sum of its proper divisors (49231358848).

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

27734954240 is an equidigital number, since it uses as much as digits as its factorization.

27734954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42504 (or 42490 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 27734954240 in words is "twenty-seven billion, seven hundred thirty-four million, nine hundred fifty-four thousand, two hundred forty".