8618471820 has 768 divisors, whose sum is σ = 34406400000. Its totient is φ = 1783192320.

The previous prime is 8618471783. The next prime is 8618471821. The reversal of 8618471820 is 281748168.

8618471820 is a `hidden beast` number, since 8 + 618 + 4 + 7 + 1 + 8 + 20 = 666.

It is a super-2 number, since 2×8618471820² (a number of 21 digits) contains 22 as substring.

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 (8618471821) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 109094541 + ... + 109094619.

It is an arithmetic number, because the mean of its divisors is an integer number (44800000).

Almost surely, 2^8618471820 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 8618471820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203200000).

8618471820 is an abundant number, since it is smaller than the sum of its proper divisors (25787928180).

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

8618471820 is a wasteful number, since it uses less digits than its factorization.

8618471820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8618471820 is about 92835.7249123418. The cubic root of 8618471820 is about 2050.2654282531.

The spelling of 8618471820 in words is "eight billion, six hundred eighteen million, four hundred seventy-one thousand, eight hundred twenty".