27482649600 has 792 divisors, whose sum is σ = 108222106080. Its totient is φ = 6131220480.

The previous prime is 27482649589. The next prime is 27482649611. The reversal of 27482649600 is 694628472.

It is an interprime number because it is at equal distance from previous prime (27482649589) and next prime (27482649611).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27482649600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 252134346 + ... + 252134454.

Almost surely, 2^27482649600 is an apocalyptic number.

27482649600 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 27482649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54111053040).

27482649600 is an abundant number, since it is smaller than the sum of its proper divisors (80739456480).

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

27482649600 is a wasteful number, since it uses less digits than its factorization.

27482649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 27482649600 in words is "twenty-seven billion, four hundred eighty-two million, six hundred forty-nine thousand, six hundred".