27338000620 has 144 divisors (see below), whose sum is σ = 68030776800. Its totient is φ = 9198959616.

The previous prime is 27338000609. The next prime is 27338000653. The reversal of 27338000620 is 2600083372.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22914744 + ... + 22915936.

It is an arithmetic number, because the mean of its divisors is an integer number (472435950).

Almost surely, 2^27338000620 is an apocalyptic number.

27338000620 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 27338000620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34015388400).

27338000620 is an abundant number, since it is smaller than the sum of its proper divisors (40692776180).

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

27338000620 is a wasteful number, since it uses less digits than its factorization.

27338000620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 27338000620 its reverse (2600083372), we get a palindrome (29938083992).

The spelling of 27338000620 in words is "twenty-seven billion, three hundred thirty-eight million, six hundred twenty", and thus it is an aban number.