4632226309260 has 576 divisors, whose sum is σ = 16273010073600. Its totient is φ = 1092592765440.

The previous prime is 4632226309241. The next prime is 4632226309267. The reversal of 4632226309260 is 629036222364.

It is a happy number.

4632226309260 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 2 + 2 + 630 + 9 + 2 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4632226309267) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 531275181 + ... + 531283899.

It is an arithmetic number, because the mean of its divisors is an integer number (28251753600).

Almost surely, 2^{4632226309260} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4632226309260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136505036800).

4632226309260 is an abundant number, since it is smaller than the sum of its proper divisors (11640783764340).

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

4632226309260 is a wasteful number, since it uses less digits than its factorization.

4632226309260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 4632226309260 in words is "four trillion, six hundred thirty-two billion, two hundred twenty-six million, three hundred nine thousand, two hundred sixty".