27840110344640 has 224 divisors, whose sum is σ = 74311751808000. Its totient is φ = 9845274193920.

The previous prime is 27840110344639. The next prime is 27840110344643. The reversal of 27840110344640 is 4644301104872.

It is a super-2 number, since 2×27840110344640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 27840110344591 and 27840110344600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27840110344643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273322841 + ... + 273424679.

It is an arithmetic number, because the mean of its divisors is an integer number (331748892000).

Almost surely, 2^{27840110344640} is an apocalyptic number.

27840110344640 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 27840110344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37155875904000).

27840110344640 is an abundant number, since it is smaller than the sum of its proper divisors (46471641463360).

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

27840110344640 is a wasteful number, since it uses less digits than its factorization.

27840110344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104003 (or 103993 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The spelling of 27840110344640 in words is "twenty-seven trillion, eight hundred forty billion, one hundred ten million, three hundred forty-four thousand, six hundred forty".