27622218240 has 840 divisors, whose sum is σ = 107354761668. Its totient is φ = 6808043520.

The previous prime is 27622218167. The next prime is 27622218271. The reversal of 27622218240 is 4281222672.

27622218240 is a `hidden beast` number, since 2 + 7 + 622 + 2 + 1 + 8 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24321026304 + 3301191936 = 155952^2 + 57456^2 .

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 = 27622218195 and 27622218204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 673712620 + ... + 673712660.

Almost surely, 2^27622218240 is an apocalyptic number.

27622218240 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 27622218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53677380834).

27622218240 is an abundant number, since it is smaller than the sum of its proper divisors (79732543428).

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

27622218240 is an frugal number, since it uses more digits than its factorization.

27622218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 27622218240 in words is "twenty-seven billion, six hundred twenty-two million, two hundred eighteen thousand, two hundred forty".