8629412220 has 192 divisors, whose sum is σ = 31540884480. Its totient is φ = 1931040000.

The previous prime is 8629412161. The next prime is 8629412221. The reversal of 8629412220 is 222149268.

8629412220 is a `hidden beast` number, since 8 + 629 + 4 + 1 + 2 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8629412221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21345 + ... + 133095.

It is an arithmetic number, because the mean of its divisors is an integer number (164275440).

Almost surely, 2^8629412220 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 8629412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770442240).

8629412220 is an abundant number, since it is smaller than the sum of its proper divisors (22911472260).

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

8629412220 is a wasteful number, since it uses less digits than its factorization.

8629412220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111793 (or 111785 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8629412220 is about 92894.6296617840. The cubic root of 8629412220 is about 2051.1326059370.

The spelling of 8629412220 in words is "eight billion, six hundred twenty-nine million, four hundred twelve thousand, two hundred twenty".