226672810560 has 784 divisors, whose sum is σ = 933023133696. Its totient is φ = 51355938816.

The previous prime is 226672810543. The next prime is 226672810571. The reversal of 226672810560 is 65018276622.

226672810560 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 7 + 2 + 81 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 207385374 + ... + 207386466.

Almost surely, 2^226672810560 is an apocalyptic number.

226672810560 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 226672810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466511566848).

226672810560 is an abundant number, since it is smaller than the sum of its proper divisors (706350323136).

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

226672810560 is a wasteful number, since it uses less digits than its factorization.

226672810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 226672810560 in words is "two hundred twenty-six billion, six hundred seventy-two million, eight hundred ten thousand, five hundred sixty".