226436670720 has 1152 divisors, whose sum is σ = 956827468800. Its totient is φ = 50139758592.

The previous prime is 226436670701. The next prime is 226436670763. The reversal of 226436670720 is 27076634622.

226436670720 is a `hidden beast` number, since 2 + 264 + 366 + 7 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175667836 + ... + 175669124.

It is an arithmetic number, because the mean of its divisors is an integer number (830579400).

Almost surely, 2^226436670720 is an apocalyptic number.

226436670720 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 226436670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478413734400).

226436670720 is an abundant number, since it is smaller than the sum of its proper divisors (730390798080).

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

226436670720 is a wasteful number, since it uses less digits than its factorization.

226436670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 226436670720 in words is "two hundred twenty-six billion, four hundred thirty-six million, six hundred seventy thousand, seven hundred twenty".