27274026240 has 288 divisors, whose sum is σ = 99041120640. Its totient is φ = 7103545344.

The previous prime is 27274026239. The next prime is 27274026251. The reversal of 27274026240 is 4262047272.

27274026240 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 402 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 27274026195 and 27274026204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476904 + ... + 1495256.

It is an arithmetic number, because the mean of its divisors is an integer number (343892780).

Almost surely, 2^27274026240 is an apocalyptic number.

27274026240 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 27274026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49520560320).

27274026240 is an abundant number, since it is smaller than the sum of its proper divisors (71767094400).

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

27274026240 is a wasteful number, since it uses less digits than its factorization.

27274026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18426 (or 18406 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 27274026240 in words is "twenty-seven billion, two hundred seventy-four million, twenty-six thousand, two hundred forty".