227895920640 has 288 divisors, whose sum is σ = 793310951160. Its totient is φ = 60505718784.

The previous prime is 227895920621. The next prime is 227895920669. The reversal of 227895920640 is 46029598722.

227895920640 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 9 + 592 + 0 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 214020965376 + 13874955264 = 462624^2 + 117792^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21467974 + ... + 21478586.

Almost surely, 2^227895920640 is an apocalyptic number.

227895920640 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 227895920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396655475580).

227895920640 is an abundant number, since it is smaller than the sum of its proper divisors (565415030520).

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

227895920640 is a wasteful number, since it uses less digits than its factorization.

227895920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10879 (or 10856 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 227895920640 in words is "two hundred twenty-seven billion, eight hundred ninety-five million, nine hundred twenty thousand, six hundred forty".