226696767264 has 576 divisors, whose sum is σ = 745471254528. Its totient is φ = 64721203200.

The previous prime is 226696767259. The next prime is 226696767289. The reversal of 226696767264 is 462767696622.

226696767264 is a `hidden beast` number, since 226 + 6 + 96 + 7 + 67 + 264 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 738425799 + ... + 738426105.

It is an arithmetic number, because the mean of its divisors is an integer number (1294220928).

Almost surely, 2^226696767264 is an apocalyptic number.

226696767264 is a gapful number since it is divisible by the number (24) 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 226696767264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372735627264).

226696767264 is an abundant number, since it is smaller than the sum of its proper divisors (518774487264).

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

226696767264 is a wasteful number, since it uses less digits than its factorization.

226696767264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 530 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 226696767264 in words is "two hundred twenty-six billion, six hundred ninety-six million, seven hundred sixty-seven thousand, two hundred sixty-four".