27689243400 has 1728 divisors, whose sum is σ = 129666700800. Its totient is φ = 5225472000.

The previous prime is 27689243377. The next prime is 27689243401. The reversal of 27689243400 is 434298672.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is not an unprimeable number, because it can be changed into a prime (27689243401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 675347380 + ... + 675347420.

It is an arithmetic number, because the mean of its divisors is an integer number (75038600).

Almost surely, 2^27689243400 is an apocalyptic number.

27689243400 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 27689243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64833350400).

27689243400 is an abundant number, since it is smaller than the sum of its proper divisors (101977457400).

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

27689243400 is a wasteful number, since it uses less digits than its factorization.

27689243400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27689243400 in words is "twenty-seven billion, six hundred eighty-nine million, two hundred forty-three thousand, four hundred".