27649085380 has 192 divisors, whose sum is σ = 72392785920. Its totient is φ = 8656243200.

The previous prime is 27649085351. The next prime is 27649085383. The reversal of 27649085380 is 8358094672.

It is not an unprimeable number, because it can be changed into a prime (27649085383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27293754 + ... + 27294766.

It is an arithmetic number, because the mean of its divisors is an integer number (377045760).

Almost surely, 2^27649085380 is an apocalyptic number.

27649085380 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 27649085380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36196392960).

27649085380 is an abundant number, since it is smaller than the sum of its proper divisors (44743700540).

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

27649085380 is a wasteful number, since it uses less digits than its factorization.

27649085380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 27649085380 in words is "twenty-seven billion, six hundred forty-nine million, eighty-five thousand, three hundred eighty".