27984726000 has 960 divisors, whose sum is σ = 124231191552. Its totient is φ = 5702400000.

The previous prime is 27984725981. The next prime is 27984726031. The reversal of 27984726000 is 62748972.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84545835 + ... + 84546165.

Almost surely, 2^27984726000 is an apocalyptic number.

27984726000 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 27984726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62115595776).

27984726000 is an abundant number, since it is smaller than the sum of its proper divisors (96246465552).

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

27984726000 is a wasteful number, since it uses less digits than its factorization.

27984726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27984726000 in words is "twenty-seven billion, nine hundred eighty-four million, seven hundred twenty-six thousand".