8418203640 has 640 divisors, whose sum is σ = 36180587520. Its totient is φ = 1704499200.

The previous prime is 8418203627. The next prime is 8418203641. The reversal of 8418203640 is 463028148.

8418203640 is a `hidden beast` number, since 8 + 4 + 1 + 8 + 2 + 0 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8418203595 and 8418203604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8418203641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10228269 + ... + 10229091.

It is an arithmetic number, because the mean of its divisors is an integer number (56532168).

Almost surely, 2^8418203640 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 8418203640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18090293760).

8418203640 is an abundant number, since it is smaller than the sum of its proper divisors (27762383880).

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

8418203640 is a wasteful number, since it uses less digits than its factorization.

8418203640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8418203640 is about 91750.7691520894. The cubic root of 8418203640 is about 2034.2600758626.

The spelling of 8418203640 in words is "eight billion, four hundred eighteen million, two hundred three thousand, six hundred forty".