27008449920 has 512 divisors, whose sum is σ = 99768729600. Its totient is φ = 6897623040.

The previous prime is 27008449907. The next prime is 27008449981. The reversal of 27008449920 is 2994480072.

It is a super-2 number, since 2×27008449920² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68031162 + ... + 68031558.

It is an arithmetic number, because the mean of its divisors is an integer number (194860800).

Almost surely, 2^27008449920 is an apocalyptic number.

27008449920 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 27008449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49884364800).

27008449920 is an abundant number, since it is smaller than the sum of its proper divisors (72760279680).

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

27008449920 is a wasteful number, since it uses less digits than its factorization.

27008449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 27008449920 in words is "twenty-seven billion, eight million, four hundred forty-nine thousand, nine hundred twenty".