227640960000 has 330 divisors, whose sum is σ = 821393274702. Its totient is φ = 60702720000.

The previous prime is 227640959971. The next prime is 227640960047. The reversal of 227640960000 is 69046722.

It is a happy number.

227640960000 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 40 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 168743494656 + 58897465344 = 410784^2 + 242688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5740240 + ... + 5779760.

Almost surely, 2^227640960000 is an apocalyptic number.

227640960000 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 227640960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410696637351).

227640960000 is an abundant number, since it is smaller than the sum of its proper divisors (593752314702).

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

227640960000 is an equidigital number, since it uses as much as digits as its factorization.

227640960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39567 (or 39531 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 227640960000 in words is "two hundred twenty-seven billion, six hundred forty million, nine hundred sixty thousand".