27026317440 has 640 divisors, whose sum is σ = 106101705600. Its totient is φ = 6525370368.

The previous prime is 27026317429. The next prime is 27026317447. The reversal of 27026317440 is 4471362072.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 27026317395 and 27026317404.

It is not an unprimeable number, because it can be changed into a prime (27026317447) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 22653484 + ... + 22654676.

It is an arithmetic number, because the mean of its divisors is an integer number (165783915).

Almost surely, 2^27026317440 is an apocalyptic number.

27026317440 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 27026317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53050852800).

27026317440 is an abundant number, since it is smaller than the sum of its proper divisors (79075388160).

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

27026317440 is a wasteful number, since it uses less digits than its factorization.

27026317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 27026317440 in words is "twenty-seven billion, twenty-six million, three hundred seventeen thousand, four hundred forty".