226826772480 has 1344 divisors, whose sum is σ = 1003979598336. Its totient is φ = 46006272000.

The previous prime is 226826772397. The next prime is 226826772511. The reversal of 226826772480 is 84277628622.

226826772480 is a `hidden beast` number, since 2 + 26 + 82 + 67 + 7 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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, 1731502015 + ... + 1731502145.

Almost surely, 2^226826772480 is an apocalyptic number.

226826772480 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 226826772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501989799168).

226826772480 is an abundant number, since it is smaller than the sum of its proper divisors (777152825856).

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

226826772480 is a wasteful number, since it uses less digits than its factorization.

226826772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 226826772480 in words is "two hundred twenty-six billion, eight hundred twenty-six million, seven hundred seventy-two thousand, four hundred eighty".