227827834920 has 1280 divisors, whose sum is σ = 974182809600. Its totient is φ = 46558955520.

The previous prime is 227827834919. The next prime is 227827834991. The reversal of 227827834920 is 29438728722.

227827834920 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 278 + 349 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1258717230 + ... + 1258717410.

It is an arithmetic number, because the mean of its divisors is an integer number (761080320).

Almost surely, 2^227827834920 is an apocalyptic number.

227827834920 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 227827834920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487091404800).

227827834920 is an abundant number, since it is smaller than the sum of its proper divisors (746354974680).

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

227827834920 is a wasteful number, since it uses less digits than its factorization.

227827834920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 227827834920 in words is "two hundred twenty-seven billion, eight hundred twenty-seven million, eight hundred thirty-four thousand, nine hundred twenty".