27834840000 has 1050 divisors, whose sum is σ = 114927580152. Its totient is φ = 6652800000.

The previous prime is 27834839987. The next prime is 27834840031. The reversal of 27834840000 is 4843872.

27834840000 is a `hidden beast` number, since 278 + 348 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 149 ways as a sum of consecutive naturals, for example, 392039965 + ... + 392040035.

Almost surely, 2^27834840000 is an apocalyptic number.

27834840000 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 27834840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57463790076).

27834840000 is an abundant number, since it is smaller than the sum of its proper divisors (87092740152).

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

27834840000 is an equidigital number, since it uses as much as digits as its factorization.

27834840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 27834840000 in words is "twenty-seven billion, eight hundred thirty-four million, eight hundred forty thousand".