227407680000 has 450 divisors, whose sum is σ = 823058925117. Its totient is φ = 60426240000.

The previous prime is 227407679999. The next prime is 227407680011. The reversal of 227407680000 is 86704722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 2458573056 + 224949106944 = 49584^2 + 474288^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=337200.

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 44 ways as a sum of consecutive naturals, for example, 809279860 + ... + 809280140.

Almost surely, 2^227407680000 is an apocalyptic number.

227407680000 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 227407680000

227407680000 is an abundant number, since it is smaller than the sum of its proper divisors (595651245117).

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

227407680000 is an frugal number, since it uses more digits than its factorization.

227407680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 227407680000 in words is "two hundred twenty-seven billion, four hundred seven million, six hundred eighty thousand".