27480227040 has 1152 divisors, whose sum is σ = 118879488000. Its totient is φ = 5762211840.

The previous prime is 27480227023. The next prime is 27480227051. The reversal of 27480227040 is 4072208472.

27480227040 is a `hidden beast` number, since 274 + 80 + 2 + 270 + 40 = 666.

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 = 27480226986 and 27480227004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 465766531 + ... + 465766589.

It is an arithmetic number, because the mean of its divisors is an integer number (103194000).

Almost surely, 2^27480227040 is an apocalyptic number.

27480227040 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 27480227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744000).

27480227040 is an abundant number, since it is smaller than the sum of its proper divisors (91399260960).

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

27480227040 is a wasteful number, since it uses less digits than its factorization.

27480227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 27480227040 in words is "twenty-seven billion, four hundred eighty million, two hundred twenty-seven thousand, forty".