227903984640 has 1056 divisors, whose sum is σ = 892698992640. Its totient is φ = 55539302400.

The previous prime is 227903984599. The next prime is 227903984641. The reversal of 227903984640 is 46489309722.

227903984640 is a `hidden beast` number, since 2 + 2 + 7 + 90 + 3 + 98 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227903984641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732810085 + ... + 732810395.

Almost surely, 2^227903984640 is an apocalyptic number.

227903984640 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 227903984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446349496320).

227903984640 is an abundant number, since it is smaller than the sum of its proper divisors (664795008000).

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

227903984640 is a wasteful number, since it uses less digits than its factorization.

227903984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 227903984640 in words is "two hundred twenty-seven billion, nine hundred three million, nine hundred eighty-four thousand, six hundred forty".